# Online courses directory (648)

Today, computer graphics is a central part of our lives, in movies, games, computer-aided design, virtual reality, virtual simulators, visualization and even imaging products and cameras. This course, part of the Virtual Reality (VR) Professional Certificate program, teaches the basics of computer graphics that apply to all of these domains.

Students will learn to create computer-generated images of 3D scenes, including flybys of objects, make a real-time scene viewer, and create very realistic images with raytracing. We will start with a simple example of viewing a teapot from anywhere in space, understanding the basic mathematics of virtual camera placement. Next, you will learn how to use real-time graphics programming languages like OpenGL and GLSL to create your own scene viewer, enabling you to fly around and manipulate 3D scenes. Finally, we will teach you to create highly realistic images with reflections and shadows using raytracing.

This course runs for 6 weeks and consists of four segments. Each segment includes an individual programming assignment:

- Overview and Basic Math (Homework 0: 10% of grade)
- Transformations (Homework 1: 20% of grade)
- OpenGL and Lighting (Homework 2: 35% of grade)
- Raytracing (Homework 3: 35% of grade)

This term, students who earn a total score of 50% or greater will have passed the course and may obtain a certificate from UC San DiegoX.

This course is designed to introduce students to basic microeconomic theory at a relatively rapid pace without the use of complicated mathematics. The focus will be on fundamental economic principles that can be used by managers to think about business problems, including those that arise from coordinating workers and managers inside firms and from dealing with outside market forces and government policies.

Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. CAHSEE Practice: Problems 1-3. CAHSEE Practice: Problems 4-9. CAHSEE Practice: Problems 10-12. CAHSEE Practice: Problems 13-14. CAHSEE Practice: Problems 15-16. CAHSEE Practice: Problems 17-19. CAHSEE Practice: Problems 20-22. CAHSEE Practice: Problems 23-27. CAHSEE Practice: Problems 28-31. CAHSEE Practice: Problems 32-34. CAHSEE Practice: Problems 35-37. CAHSEE Practice: Problems 38-42. CAHSEE Practice: Problems 43-46. CAHSEE Practice: Problems 47-51. CAHSEE Practice: Problems 52-53. CAHSEE Practice: Problems 1-3. CAHSEE Practice: Problems 4-9. CAHSEE Practice: Problems 10-12. CAHSEE Practice: Problems 13-14. CAHSEE Practice: Problems 15-16. CAHSEE Practice: Problems 17-19. CAHSEE Practice: Problems 20-22. CAHSEE Practice: Problems 23-27. CAHSEE Practice: Problems 28-31. CAHSEE Practice: Problems 32-34. CAHSEE Practice: Problems 35-37. CAHSEE Practice: Problems 38-42. CAHSEE Practice: Problems 43-46. CAHSEE Practice: Problems 47-51. CAHSEE Practice: Problems 52-53.

Lectures based on the Singapore Math curriculum. You can follow along through the workbooks available at singaporemath.com. Singapore Math: Grade 3a, Unit 1 (part 1). Singapore Math: Grade 3a Unit 1 (part 2). Singapore Math: Grade 3a, Unit 1 (part 3). Singapore Math: Grade 3a, Unit 1 (part 4). Singapore Math: Grade 3a, Unit 1 (part 5). Singapore Math: Grade 3a, Unit 1 (part 6). Singapore Math: Grade 3a, Unit 1 (part 7). Singapore Math: Grade 3a, Unit 1 (part 8). Singapore Math: Grade 3a, Unit 1 (part 9). Singapore Math: Grade 3a Unit 2 (part 1). Singapore Math: Grade 3a Unit 2 (part 2). Singapore Math: Grade 3a Unit 2 (part 3). Singapore Math: Grade 3a Unit 2 (part 4). Singapore Math: Grade 3a Unit 2 (part 5). Singapore Math: Grade 3a Unit 2 (part 6). Singapore Math: Grade 3a Unit 2 (part 7). Singapore Math: Grade 3a Unit 2 (part 8). Singapore Math: Grade 3a Unit 2 (part 9). Singapore Math: Grade 3a Unit 2 (part 10). Singapore Math: Grade 3a Unit 2 (part 11). Singapore Math: Grade 3a, Unit 1 (part 1). Singapore Math: Grade 3a Unit 1 (part 2). Singapore Math: Grade 3a, Unit 1 (part 3). Singapore Math: Grade 3a, Unit 1 (part 4). Singapore Math: Grade 3a, Unit 1 (part 5). Singapore Math: Grade 3a, Unit 1 (part 6). Singapore Math: Grade 3a, Unit 1 (part 7). Singapore Math: Grade 3a, Unit 1 (part 8). Singapore Math: Grade 3a, Unit 1 (part 9). Singapore Math: Grade 3a Unit 2 (part 1). Singapore Math: Grade 3a Unit 2 (part 2). Singapore Math: Grade 3a Unit 2 (part 3). Singapore Math: Grade 3a Unit 2 (part 4). Singapore Math: Grade 3a Unit 2 (part 5). Singapore Math: Grade 3a Unit 2 (part 6). Singapore Math: Grade 3a Unit 2 (part 7). Singapore Math: Grade 3a Unit 2 (part 8). Singapore Math: Grade 3a Unit 2 (part 9). Singapore Math: Grade 3a Unit 2 (part 10). Singapore Math: Grade 3a Unit 2 (part 11).

Introduction to Kinetics. Reactions in Equilibrium. Mini-Video on Ion Size. Keq Intuition (mathy and not necessary to progress). Keq derivation intuition (can skip; bit mathy). Heterogeneous Equilibrium. Le Chatelier's Principle. Introduction to pH, pOH, and pKw. Introduction to Kinetics. Reactions in Equilibrium. Mini-Video on Ion Size. Keq Intuition (mathy and not necessary to progress). Keq derivation intuition (can skip; bit mathy). Heterogeneous Equilibrium. Le Chatelier's Principle. Introduction to pH, pOH, and pKw.

GMAT Math: 1. GMAT Math: 2. GMAT Math: 3. GMAT Math: 4. GMAT Math: 5. GMAT: Math 6. GMAT: Math 7. GMAT: Math 8. GMAT: Math 9. GMAT: Math 10. GMAT: Math 11. GMAT: Math 12. GMAT: Math 13. GMAT: Math 14. GMAT: Math 15. GMAT: Math 16. GMAT: Math 17. GMAT: Math 18. GMAT: Math 19. GMAT Math 20. GMAT Math 21. GMAT Math 22. GMAT Math 23. GMAT Math 24. GMAT Math 25. GMAT Math 26. GMAT Math 27. GMAT Math 28. GMAT Math 29. GMAT Math 30. GMAT Math 31. GMAT Math 32. GMAT Math 33. GMAT Math 34. GMAT Math 35. GMAT Math 36. GMAT Math 37. GMAT Math 38. GMAT Math 39. GMAT Math 40. GMAT Math 41. GMAT Math 42. GMAT Math 43. GMAT Math 44. GMAT Math 45. GMAT Math 46. GMAT Math 47. GMAT Math 48. GMAT Math 49. GMAT Math 50. GMAT Math 51. GMAT Math 52. GMAT Math 53. GMAT Math 54.

Have you ever wondered how to build a system that automatically translates between languages? Or a system that can understand natural language instructions from a human? This class will cover the fundamentals of mathematical and computational models of language, and the application of these models to key problems in natural language processing.

Topics covered in a traditional college level introductory macroeconomics course. Circular Flow of Income and Expenditures. Parsing Gross Domestic Product. More on Final and Intermediate GDP Contributions. Investment and Consumption. Income and Expenditure Views of GDP. Components of GDP. Examples of Accounting for GDP. Real GDP and Nominal GDP. GDP Deflator. Example Calculating Real GDP with a Deflator. Introduction to Inflation. Actual CPI-U Basket of Goods. Inflation Data. Moderate Inflation in a Good Economy. Stagflation. Real and Nominal Return. Calculating Real Return in Last Year Dollars. Relation Between Nominal and Real Returns and Inflation. Deflation. Velocity of Money Rather than Quantity Driving Prices. Deflation Despite Increases in Money Supply. Deflationary Spiral. Hyperinflation. Unemployment Rate Primer. Phillips Curve. Interest as Rent for Money. Money Supply and Demand Impacting Interest Rates. The Business Cycle. Aggregate Demand. Shifts in Aggregate Demand. Long-Run Aggregate Supply. Short Run Aggregate Supply. Demand-Pull Inflation under Johnson. Real GDP driving Price. Cost Push Inflation. Monetary and Fiscal Policy. Tax Lever of Fiscal Policy. Breakdown of Gas Prices. Short-Run Oil Prices. Keynesian Economics. Risks of Keynesian Thinking. Overview of Fractional Reserve Banking. Weaknesses of Fractional Reserve Lending. Full Reserve Banking. Money Supply- M0 M1 and M2. Simple Fractional Reserve Accounting part 1. Simple Fractional Reserve Accounting (part 2). MPC and Multiplier. Mathy Version of MPC and Multiplier (optional). Consumption Function Basics. Generalized Linear Consumption Function. Consumption Function with Income Dependent Taxes. Keynesian Cross. Details on Shifting Aggregate Planned Expenditures. Keynesian Cross and the Multiplier. Investment and Real Interest Rates. Connecting the Keynesian Cross to the IS-Curve. Loanable Funds Interpretation of IS Curve. LM part of the IS-LM model. Government Spending and the IS-LM model. Balance of Payments- Current Account. Balance of Payments- Capital Account. Why Current and Capital Accounts Net Out. Accumulating Foreign Currency Reserves. Using Reserves to Stabilize Currency. Speculative Attack on a Currency. Financial Crisis in Thailand Caused by Speculative Attack. Math Mechanics of Thai Banking Crisis.

Collection of interviews with and presentations by Salman Khan. Also a few other mentions of Khan Academy at other talks. Khan Academy's Discovery Lab Offers Hands-On Learning. Salman Khan Describes Future Classrooms with Blended Learning. 60 minutes: The future of education?. Salman Khan talk at TED 2011 (from ted.com). Salman Khan on Charlie Rose. Khan Academy on Perry's Principles (6/2/2011). KA on John Stossel Documentary. Microsoft CEO Summit Innovation in Education. MIT 2012 Commencement Address. Salman Khan at Rice University's 2012 commencement. 60 minutes: Khan Academy's "world-changing" plan for schools. 60 minutes: Google's Eric Schmidt on Khan Academy. 60 minutes: School of the future. 60 minutes: Khan Academy in the classroom. Nightline: Learn Everything, Online. After Words: "The One World Schoolhouse: Education Reimagined". Salman Khan at TiEcon 2011. PBS NewsHour on the Khan Academy. Salman Khan on CNN. Salman Khan Speaks at GEL (Good Experience Live) Conference. Salman Khan Talk at the MIT Club of Northern California. Salman Khan talk at Castilleja School on January 5th, 2010. Sal Khan Interview with IT Conversations - January 31,2010. Salman Khan interview with NPR's All Things Considered on 12/28/2009. Khan Academy on PBS NewsHour (Edited). Sal Khan (with a severe cold!) on Future Talk. Brian Lehrer Interview with Salman Khan. Salman Khan Interview with Mixergy.com. Bill Gates talks about the Khan Academy at Aspen Ideas Festival 2010. Khan Academy Vision and Social Return. Bay Area CBS Station with Salman Khan. CNN: Google award to Khan Academy. Fareed Zakaria talks about Khan Academy on CNN GPS. Khan Academy on the Gates Notes. Sal on ABC News. Forbes Names You Need To Know: Khan Academy. Salman Khan on KQED MindShift. Khan Academy Exercise Software. Khan Academy on Nightly News. Sal on Dylan Ratigan show. Authors@Google: Salman Khan. LinkedIn Speaker Series Salman Khan. TEDxSanJoseCA - Salman Khan - (Sequel to talk at TED). Salman Khan on Big Think. Salman Khan on Marketplace (NPR) on 5-24-2011. May 29th, 2011 CNN Piece. Khan Academy on California Report (June 2011). Ideal Math and Science Class Time. NPR Story on KA Los Altos Pilots (June 2011). Salman Khan interviewed on NPR's On Point. 21st Century Challenges (Royal Geographic Society). Answers for Malibu Magazine. NCSU Answers. Questions from Superinteressante (8-22-2011). Answers to Questions from the Independent. The Gates Notes: Sal on Khan Academy. The Gates Notes: Students in Los Altos. The Gates Notes: Teachers in Los Altos. The Gates Notes: Administrators in Los Altos. The Gates Notes: Insights into students' progress. Early Show. Brainwave Sep 2011. School Leadership Briefing Questions (Sep 12 2011) 2. School Leadership Briefing (Sep 12 2011). Center for Future of Museums. Sal during Education Week (Sep 2011) 1. Khan Academy on 20/20 (Sep 2011). Tom Brokaw interviews Sal at Education Nation 2011. Financial Times October 2011. 2011 Roundtable at Stanford: Education Nation 2.0. Year 2060: Education Predictions. Verbal Answers to "Ask Me Anything" on Reddit. Khan Academy Exercises and Data Reports Overview. Elizabeth Slavitt. Marcos Ojeda. Minli Virdone. Jessica Yuen. ED SESSION III with Sal Khan - Reactions in Idaho. Videocast with Sal Khan: Effectively Using Khan Academy. Khan Academy at Oakland Unity High School. Khan Academy at Marlborough School. Khan Academy at Summit Prep. Khan Academy at KIPP. Khan Academy at Eastside College Prep. Khan Academy in Los Altos School District. Navigating Video Content on Khan Academy. Khan Academy Exercise Overview. Khan Academy Vision. Sal Khan on Digital and Physical Learning. Khan Academy Computer Science Launch. Overview of KhanAcademy.org. Khan Academy reports overview. The Language Advocates. Radio Interview: Sal on AirTalk talking about his new book. Khan Academy in Idaho. Radio Interview: Sal Khan on Brian Lehrer (Oct 4, 2012). Radio Interview: Sal Khan on NPR's Talk of the Nation (October 23, 2012). Radio Interview: Sal Khan on Diane Rehm (Oct 3, 2012). Sal Khan on CNN Starting Point (Oct 5, 2012). Sal Khan on Piers Morgan Tonight (Oct 5, 2012). Sal's interview on the One World Schoolhouse (C-SPAN 2 After Words). Khan Academy's Discovery Lab Offers Hands-On Learning. Salman Khan Describes Future Classrooms with Blended Learning. 60 minutes: The future of education?. Salman Khan talk at TED 2011 (from ted.com). Salman Khan on Charlie Rose. Khan Academy on Perry's Principles (6/2/2011). KA on John Stossel Documentary. Microsoft CEO Summit Innovation in Education. MIT 2012 Commencement Address. Salman Khan at Rice University's 2012 commencement. 60 minutes: Khan Academy's "world-changing" plan for schools. 60 minutes: Google's Eric Schmidt on Khan Academy. 60 minutes: School of the future. 60 minutes: Khan Academy in the classroom. Nightline: Learn Everything, Online. After Words: "The One World Schoolhouse: Education Reimagined". Salman Khan at TiEcon 2011. PBS NewsHour on the Khan Academy. Salman Khan on CNN. Salman Khan Speaks at GEL (Good Experience Live) Conference. Salman Khan Talk at the MIT Club of Northern California. Salman Khan talk at Castilleja School on January 5th, 2010. Sal Khan Interview with IT Conversations - January 31,2010. Salman Khan interview with NPR's All Things Considered on 12/28/2009. Khan Academy on PBS NewsHour (Edited). Sal Khan (with a severe cold!) on Future Talk. Brian Lehrer Interview with Salman Khan. Salman Khan Interview with Mixergy.com. Bill Gates talks about the Khan Academy at Aspen Ideas Festival 2010. Khan Academy Vision and Social Return. Bay Area CBS Station with Salman Khan. CNN: Google award to Khan Academy. Fareed Zakaria talks about Khan Academy on CNN GPS. Khan Academy on the Gates Notes. Sal on ABC News. Forbes Names You Need To Know: Khan Academy. Salman Khan on KQED MindShift. Khan Academy Exercise Software. Khan Academy on Nightly News. Sal on Dylan Ratigan show. Authors@Google: Salman Khan. LinkedIn Speaker Series Salman Khan. TEDxSanJoseCA - Salman Khan - (Sequel to talk at TED). Salman Khan on Big Think. Salman Khan on Marketplace (NPR) on 5-24-2011. May 29th, 2011 CNN Piece. Khan Academy on California Report (June 2011). Ideal Math and Science Class Time. NPR Story on KA Los Altos Pilots (June 2011). Salman Khan interviewed on NPR's On Point. 21st Century Challenges (Royal Geographic Society). Answers for Malibu Magazine. NCSU Answers. Questions from Superinteressante (8-22-2011). Answers to Questions from the Independent. The Gates Notes: Sal on Khan Academy. The Gates Notes: Students in Los Altos. The Gates Notes: Teachers in Los Altos. The Gates Notes: Administrators in Los Altos. The Gates Notes: Insights into students' progress. Early Show. Brainwave Sep 2011. School Leadership Briefing Questions (Sep 12 2011) 2. School Leadership Briefing (Sep 12 2011). Center for Future of Museums. Sal during Education Week (Sep 2011) 1. Khan Academy on 20/20 (Sep 2011). Tom Brokaw interviews Sal at Education Nation 2011. Financial Times October 2011. 2011 Roundtable at Stanford: Education Nation 2.0. Year 2060: Education Predictions. Verbal Answers to "Ask Me Anything" on Reddit. Khan Academy Exercises and Data Reports Overview. Elizabeth Slavitt. Marcos Ojeda. Minli Virdone. Jessica Yuen. ED SESSION III with Sal Khan - Reactions in Idaho. Videocast with Sal Khan: Effectively Using Khan Academy. Khan Academy at Oakland Unity High School. Khan Academy at Marlborough School. Khan Academy at Summit Prep. Khan Academy at KIPP. Khan Academy at Eastside College Prep. Khan Academy in Los Altos School District. Navigating Video Content on Khan Academy. Khan Academy Exercise Overview. Khan Academy Vision. Sal Khan on Digital and Physical Learning. Khan Academy Computer Science Launch. Overview of KhanAcademy.org. Khan Academy reports overview. The Language Advocates. Radio Interview: Sal on AirTalk talking about his new book. Khan Academy in Idaho. Radio Interview: Sal Khan on Brian Lehrer (Oct 4, 2012). Radio Interview: Sal Khan on NPR's Talk of the Nation (October 23, 2012). Radio Interview: Sal Khan on Diane Rehm (Oct 3, 2012). Sal Khan on CNN Starting Point (Oct 5, 2012). Sal Khan on Piers Morgan Tonight (Oct 5, 2012). Sal's interview on the One World Schoolhouse (C-SPAN 2 After Words).

You cannot properly understand current world events without understanding the history of the 20th Century. This topic takes us on a journey from the end of Imperialism through two world wars and the Cold War and brings us to our modern world. Empires before World War I. German and Italian Empires in 1914. Alliances leading to World War I. Language and religion of the former Yugoslavia. Assassination of Franz Ferdinand by Gavrilo Princip. The Great War begins. Causes of World War I. Blockades, u-boats and sinking of the Lusitania. Zimmermann Telegram. United States enters World War I. Wilson's war message to Congress -- April 2, 1917. 1917 speech by Senator George Norris in opposition to American entry. WWI Blockades and America. Schlieffen Plan and the First Battle of the Marne. Comparing the Eastern and Western Fronts in WWI. World War I Eastern Front. Battles of Verdun, Somme and the Hindenburg Line. Closing stages of World War I. Technology in World War I. Eastern and Western Fronts of World War I. Serbian and Macedonian Fronts. Serbian losses in World War I. Italy backs out of Triple Alliance. Italian front in World War I. Japan in World War I. Secondary fronts of WWI. Theodor Herzl and the birth of political Zionism. Sinai, Palestine and Mesopotamia Campaigns. Sykes-Picot Agreement and the Balfour Declaration. Arabia after World War I. The Middle East during and after WWI. Gallipoli Campaign and ANZAC Day. Sinai, Palestine and Mesopotamia Campaigns. Armenian massacres before World War I. Young Turks and the Armenians. Mustafa Kemal Ataturk and the Turkish War for Independence. Ottoman Empire and birth of Turkey . Deaths in World War I. Woodrow Wilson's Fourteen Points. Paris Peace Conference and Treaty of Versailles. More detail on the Treaty of Versailles and Germany. Arabia after World War I. WWI Aftermath. World War I. Initial rise of Hitler and the Nazis. Hitler's Beer Hall Putsch. Hitler and the Nazis come to power. Night of the Long Knives. Nazi Aggression and Appeasement. Rise of Hitler. Fascism and Mussolini. Mussolini becomes Prime Minister. Mussolini becomes absolute dictator (Il Duce). Mussolini aligns with Hitler. Fascism and Mussolini. Overview of Chinese History 1911 - 1949. Communism. Korean War Overview. Bay of Pigs Invasion. Cuban Missile Crisis. Vietnam War. Allende and Pinochet in Chile. Pattern of US Cold War Interventions. Empires before World War I. German and Italian Empires in 1914. Alliances leading to World War I. Language and religion of the former Yugoslavia. Assassination of Franz Ferdinand by Gavrilo Princip. The Great War begins. Causes of World War I. Blockades, u-boats and sinking of the Lusitania. Zimmermann Telegram. United States enters World War I. Wilson's war message to Congress -- April 2, 1917. 1917 speech by Senator George Norris in opposition to American entry. WWI Blockades and America. Schlieffen Plan and the First Battle of the Marne. Comparing the Eastern and Western Fronts in WWI. World War I Eastern Front. Battles of Verdun, Somme and the Hindenburg Line. Closing stages of World War I. Technology in World War I. Eastern and Western Fronts of World War I. Serbian and Macedonian Fronts. Serbian losses in World War I. Italy backs out of Triple Alliance. Italian front in World War I. Japan in World War I. Secondary fronts of WWI. Theodor Herzl and the birth of political Zionism. Sinai, Palestine and Mesopotamia Campaigns. Sykes-Picot Agreement and the Balfour Declaration. Arabia after World War I. The Middle East during and after WWI. Gallipoli Campaign and ANZAC Day. Sinai, Palestine and Mesopotamia Campaigns. Armenian massacres before World War I. Young Turks and the Armenians. Mustafa Kemal Ataturk and the Turkish War for Independence. Ottoman Empire and birth of Turkey . Deaths in World War I. Woodrow Wilson's Fourteen Points. Paris Peace Conference and Treaty of Versailles. More detail on the Treaty of Versailles and Germany. Arabia after World War I. WWI Aftermath. World War I. Initial rise of Hitler and the Nazis. Hitler's Beer Hall Putsch. Hitler and the Nazis come to power. Night of the Long Knives. Nazi Aggression and Appeasement. Rise of Hitler. Fascism and Mussolini. Mussolini becomes Prime Minister. Mussolini becomes absolute dictator (Il Duce). Mussolini aligns with Hitler. Fascism and Mussolini. Overview of Chinese History 1911 - 1949. Communism. Korean War Overview. Bay of Pigs Invasion. Cuban Missile Crisis. Vietnam War. Allende and Pinochet in Chile. Pattern of US Cold War Interventions.

Example problems from random math competitions. 2003 AIME II Problem 1. 2003 AIME II Problem 3. 2003 AIME II Problem 4 (part 1). Sum of factors of 27000. Sum of factors 2. 2003 AIME II Problem 5. 2003 AIME II Problem 5 Minor Correction. Area Circumradius Formula Proof. 2003 AIME II Problem 8. Sum of Polynomial Roots (Proof). Sum of Squares of Polynomial Roots. 2003 AIME II Problem 9. 2003 AIME II Problem 12. 2003 AIME II Problem 13. 2003 AIME II Problem 10. 2003 AIME II Problem 11. 2003 AIME II Problem 14. 2003 AIME II Problem 15 (part 1). 2003 AIME II Problem 15 (part 2). 2003 AIME II Problem 15 (part 3). 2003 AIME II Problem 1. 2003 AIME II Problem 3. 2003 AIME II Problem 4 (part 1). Sum of factors of 27000. Sum of factors 2. 2003 AIME II Problem 5. 2003 AIME II Problem 5 Minor Correction. Area Circumradius Formula Proof. 2003 AIME II Problem 8. Sum of Polynomial Roots (Proof). Sum of Squares of Polynomial Roots. 2003 AIME II Problem 9. 2003 AIME II Problem 12. 2003 AIME II Problem 13. 2003 AIME II Problem 10. 2003 AIME II Problem 11. 2003 AIME II Problem 14. 2003 AIME II Problem 15 (part 1). 2003 AIME II Problem 15 (part 2). 2003 AIME II Problem 15 (part 3).

LeBron James asks questions about math and science, and we answer!. LeBron Asks: What muscles do we use when shooting a basket?. LeBron Asks: How does shooting a basketball illustrate Newton's 3rd Law?. LeBron Asks: If Earth's history were a basketball game, when did humans appear?. LeBron Asks: Why does sweating cool you down?. LeBron Asks: Why does humidity make it feel hotter?. LeBron Asks: What are the chances of making 10 free throws in a row?. LeBron Asks: What are the chances of three free throws versus one three pointer?. Monte Carlo Simulation to Answer LeBron's Question. LeBron Asks: What muscles do we use when shooting a basket?. LeBron Asks: How does shooting a basketball illustrate Newton's 3rd Law?. LeBron Asks: If Earth's history were a basketball game, when did humans appear?. LeBron Asks: Why does sweating cool you down?. LeBron Asks: Why does humidity make it feel hotter?. LeBron Asks: What are the chances of making 10 free throws in a row?. LeBron Asks: What are the chances of three free throws versus one three pointer?. Monte Carlo Simulation to Answer LeBron's Question.

This class presents the fundamental probability and statistical concepts used in elementary data analysis. It will be taught at an introductory level for students with junior or senior college-level mathematical training including a working knowledge of calculus. A small amount of linear algebra and programming are useful for the class, but not required.