Course Schedule
Below is the complete schedule for our 7-week summer course (June 29 - August 14).
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Week 1 (June 29 - July 4)
| Day |
Date |
Topics |
Notes link |
| 1 |
Sunday, June 29 |
Program orientation (no class) |
|
| 2 |
Monday, June 30 |
Course overview. Probability introduction (meaning of probability), events, sample space, and basic counting rules. |
lecture 1 |
| 3 |
Tuesday, July 1 |
Dependent vs independent events and their formal definition. Independence as conditional probability. Venn diagrams. |
lecture 2 |
| 4 |
Wednesday, July 2 |
Descriptive statistics: mean, median, variance, and standard deviation. Applications in real life. |
lecture 3 |
| 5 |
Thursday, July 3 |
Lab 1: Toy probability experiment / expectation lab. |
lab 1 |
| - |
Friday, July 4 |
No Class |
|
Week 2 (July 5 - July 11)
| Day |
Date |
Topics |
Notes link |
| 6 |
Saturday, July 5 |
Formal definition of a function, simple examples of functions (linear, quadratic), how to draw them and how to figure out their domain and range. |
lecture 4 |
| 7 |
Sunday, July 6 |
Polynomial functions, their graphs, their domain and range, and their infinity behavior. |
lecture 5 |
| 8 |
Monday, July 7 |
Root and rational functions, their graphs, their domain and range, points of discontinuity, and their infinity behavior. |
lecture 6 |
| 9 |
Tuesday, July 8 |
Exponential and log functions, their graphs, their domain and range, points of discontinuity, and their infinity behavior. |
lecture 7 |
| 10 |
Wednesday, July 9 |
Operations on functions. Transformations: shifting, squeezing, reflecting, and composing functions. |
lecture 8 |
| 11 |
Thursday, July 10 |
Lab 2: Function plotting lab (Desmos/Geogebra). |
lab 2 |
| - |
Friday, July 11 |
No Class |
|
Week 3 (July 12 - July 18)
| Day |
Date |
Topic |
Notes link |
| 12 |
Saturday, July 12 |
Operations on functions (continued). Inverse functions and implicit vs. explicit functions. |
lecture 9 |
| 13 |
Sunday, July 13 |
Problem solving session. |
review questions |
| 14 |
Monday, July 14 |
Quiz 1 (Probability and Functions) |
-- |
| 15 |
Tuesday, July 15 |
Quiz 1 problems review. |
problems and solutions |
| 16 |
Wednesday, July 16 |
Introduction to limits, limits on graphs, and limits of infinity. |
lecture 12 |
| 17 |
Thursday, July 17 |
Existence of limits, one sided limits, and infinity limits. |
lecture 13 |
| - |
Friday, July 18 |
No Class |
|
Week 4 (July 19 - July 25)
| Day |
Date |
Topic |
Notes link |
| 18 |
Saturday, July 19 |
Continuity, laws of limits, and Squeeze theorem. |
lecture 14 |
| 19 |
Sunday, July 20 |
Off Day |
-- |
| 20 |
Monday, July 21 |
Algebraic manipulation of limits. Asymptotes. Euler Number e and its properties. ln(x) and ex. |
lecture 15 |
| 21 |
Tuesday, July 22 |
Trigonometric functions. The unit circle. |
lecture 16 |
| 22 |
Wednesday, July 23 |
Lab 3: Limits problem solving session. |
lecture 17 |
| 23 |
Thursday, July 24 |
Quiz 2 (Limits and Continuity) |
-- |
| - |
Friday, July 25 |
No Class |
|
Week 5 (July 26 - August 1)
| Day |
Date |
Topic |
Notes link |
| 24 |
Saturday, July 26 |
Quiz 2 solutions. |
problems and solutions |
| 25 |
Sunday, July 27 |
Derivatives Introduction 1: Derivatives as rate of change, connections to real-life examples. |
lecture 18 |
| 26 |
Monday, July 28 |
Derivatives Introduction 2: Formal algebraic definition of derivatives. Calculate derivatives of simple functions |
lecture 19 |
| 27 |
Tuesday, July 29 |
Derivatives rules 1: power, exponential, log, addition, and subtraction rules. |
lecture 20 |
| 28 |
Wednesday, July 30 |
Derivatives rules 2: multiplication and division rules. |
lecture 21 |
| 29 |
Thursday, July 31 |
Lab 4: Derivatives Lab 1. |
lab 4 |
| - |
Friday, August 1 |
No Class |
|
Week 6 (August 2 - August 8)
| Day |
Date |
Topic |
Notes link |
| 30 |
Saturday, August 2 |
Derivatives rules 3: chain rule. |
lecture 22 |
| 31 |
Sunday, August 3 |
Implicit differentiation. |
lecture 23 |
| 32 |
Monday, August 4 |
Derivatives in real life. Derivatives role in optimization problems. Fence perimeter/area and factory production problems. |
lecture 24 |
| 33 |
Tuesday, August 5 |
Optimization problems and related rates. |
lecture 25 |
| 34 |
Wednesday, August 6 |
Derivatives problem solving session. |
review questions |
| 35 |
Thursday, August 7 |
Quiz 3 (Derivatives) |
-- |
| - |
Friday, August 8 |
No Class |
|
Week 7 (August 9 - August 15)
| Day |
Date |
Topic |
Notes link |
| 36 |
Saturday, August 9 |
Quiz 3 solutions. Wrap up. |
problems and solutions |
| 37 |
Sunday, August 10 |
No Math Class |
-- |
| 38 |
Monday, August 11 |
No Math Class |
-- |
| 39 |
Tuesday, August 12 |
No Math Class |
-- |
| 40 |
Wednesday, August 13 |
No Math Class |
-- |
| 41 |
Thursday, August 14 |
Departure day. |
-- |