Note: This calendar is
subject to change; check frequently for updates. Important: On Monday-Thursday, you should complete the indicated lectures before class. (Friday's lectures can be done after class.) Please keep up with the readings. Readings in the Course Notes are numbered consistently with the lectures (e.g. Chapter 7 corresponds to Lecture 7, etc.) Class meeting days are shown on a white background. The topics listed for May 17-21 (the week before class begins) are pre-calculus topics. Please take the five self-diagnostic quizzes to see if you need to review any (or all) of it. If you do, then please complete the indicated pre-calculus video lectures (lectures 2, 3A, 3B, 4, 5A, 5B, 5C, 6A and 6C) before the first day of class. |
Monday
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Tuesday
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Wednesday | Thursday | Friday | |
MAY | 17 Please watch: Lecture 1: A Thumbnail Sketch of Calc. I Do you need to review functions? Take the self-diagnostic quiz. If you didn't get 100% please see: Lecture 2: Function Fundamentals |
18 Do you need to review trig functions? Take the self-diagnostic quiz. If you didn't get 100% please see: Lecture 3A: Trig Review, Part A Lecture 3B: Trig Review, Part B |
19 Do you need to review inverse functions? Take the self-diagnostic quiz. If you didn't get 100% please see: Lecture 4: Inverse Functions |
20 Do you need to review logarithms? Take the self-diagnostic quiz. If you didn't get 100% please see: Lecture 5A: Exponents Lecture 5B: Logarithms Lecture 5C: Natural logarithms Lecture 5D: Why e is the best base (optional) |
21 Do you need to review inverse trig functions? Take the self-diagnostic quiz. If you didn't get 100% please see: Lecture 6A: Inverse Trig Functions Lecture 6B: More Inv. Trig Functions |
24 Complete before class: Lecture 7: Motivation for Limits Lecture 8: Limit Laws 2:00-3:30 Introduction & Function Review We will discuss the following exercises from the course notes. Please attempt them in advance. §3.1: 2, 8, 14, 20, 22 §3.2: 7, 12 §3.4: 2 §4.1: 4 §4.2: 2 §4.3: 10 §5.1: 16 §5.3: 4, 16 §5.4: 2, 12, 16 §5.5: 2, 8, 20 §6.1: 4, 6 §6.3: 2, 8, 16, 20, 26 §6.5: 2 3:45--4:55 Introduction to Limits We will discuss the following exercises. Please attempt them in advance. Chapter 8: 8, 10, 16, 22, 24 |
25 Complete before class: Lecture 9: Computing Limits Lecture 10A: Limits of Trig Functions Lecture 10B: Squeeze Theorem 2:00 We will discuss the following exercises from the course notes. Please attempt them in advance. Chapter 9: 2, 4, 24, 30, 32 Chapter 10: 10, 12, 16, 24, 28 |
26 Complete before class: Lecture 11: Continuity Lecture 12: Infinite Limits 2:00 We will discuss the following exercises from the course notes. Please attempt them in advance. Chapter 11: 4, 6, 12, 16, 22 Chapter 12: 2, 4, 6, 8, 18 4:00-4:30 Quiz review 4:30-4:55 QUIZ 1 (Lectures 8, 9, 10AB) [Blank | Solved] Sample Quiz, Lectures 8 & 9: [Blank | Solved] Sample Quiz, Lectures 10AB, 11: [Blank | Solved] |
27 Complete before class: Lecture 13: Limits at Infinity Lecture 15: Slopes of Tangents 2:00 We will discuss the following exercises from the course notes. Please attempt them in advance. Chapter 13: 2, 6, 8, 18 Chapter 15: 4 |
28 2:00-3:55, Q&A and Review 4:00-4:55, TEST 1 (lectures 8-13, 15) Test 1: [Blank | Solved] For weekend: Lecture 16: The Derivative Lecture 17: Derivative Rules Lecture 18: Examples Please do the following exercises. We will discuss them in class next week. Chapter 16: 4 Chapter 17: 2, 4, 8, 12 |
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JUNE | 31 Lecture 19: Derivative of ex Lecture 20: Product & Quotient Rules Lecture 21: Trig Derivatives Please do the following exercises. We will discuss them in class this week. Chapter 18: 2, 4, 6, 12 Chapter 19: 6, 8 University closed; No class |
1 Complete before class: Lecture 22: Higher Derivatives Lecture 23A: The Chain Rule We will discuss the following exercises from the course notes. Please attempt them in advance. Chapter 20: 2, 8, 18, 20 Chapter 21: 2, 4, 14, 18 Chapter 22: 2 |
2 Complete before class: Lecture 23B: The Chain Rule Lecture 24: Derivatives of Logs Lecture 25: Inverse Trig Functions 2:00-3:00 We will discuss the following exercises from the course notes. Please attempt them in advance. Chapter 23: 2, 16, 20, 32, 38, 40 Chapter 24: 2, 4, 18 Chapter 25: 4, 12, 14 3:30-4:15 Quiz review 4:15-4:55 QUIZ 2 (Lectures 16-22) [Blank | Solved] Sample Quizzes. Lectures 16: [Blank | Solved] Lectures 17, 18, 19, 20: [Blank | Solved] |
3 Complete before class: Lecture 26: Meanings of Derivatives Lecture 27: Implicit Differentiation We will discuss the following exercises from the course notes. Please attempt them in advance. Chapter 26: 4, 10 Chapter 27: 6, 10 |
4 2:00-3:25, Q&A and Review 3:30-4:30, TEST 2 (lectures 16-25) Test 2: [Blank | Solved] The following two sample tests from Spring 2021 cover lectures 16-23. (Note that our test will also cover material from Lectures 24 & 25.) Section 1 Test: [Blank | Solved] Section 9 Test: [Blank | Solved] For weekend: Lecture 30: Increase-Decrease Lecture 31: Extrema & First Derivative Test Please do the following exercises. We will discuss them in class next week. Chapter 30: 2, 6 Chapter 31: 2, 8, 12 |
7 Complete before class: Lecture 32A: Concavity Lecture 32B: Second Derivative Test |
8 Complete before class: Lecture 33: Absolute Extrema Lecture 34A: Applied Optimization Lecture 34B: Applied Optimization Please do the following exercises. We will discuss them in class. Chapter 32: 2, 6, 14 Chapter 33: 2, 4, 8 |
9 Complete before class: Lecture 35: Mean Value Theorem Lecture 36: Differentials Lecture 38A: L'Hopital's Rule Please do the following exercises. We will discuss them in class. Chapter 34: 2, 6 2:00-3:00 Quiz review 3:00-3:30 QUIZ 3 (Lectures 26, 27, 30-33) [Blank | Solved] 3:45-4:55 Lectures 34-38 Q&A Sample Quiz: Lectures 32 & 33 [Blank | Solved] |
10 Complete before class: Lecture 38B: L'Hopital's Rule Lecture 39: Antiderivatives Please do the following exercises. We will discuss them in class. Chapter 38: 2, 10, 18, 28 Chapter 39: 4, 6, 20, 28, 34, 36 |
11 2:00-3:25, Q&A and Review 3:30-4:30, TEST 3 (Lectures 26, 27, 30-34, 38, 39) Test 3: [Blank | Solved] The following two sample tests from spring 2021 together span the material on our Test 3 (if you ignore the indicated problems). Spr. 2021 Test 2: [Blank | Solved] (ignore #4) Spr. 2021 Test 3: [Blank | Solved] (ignore #3) For weekend: Lecture 40: Initial Value Problems Lecture 41: Area and Sigma Notation Please do the following exercises. We will discuss them in class next week. Chapter 40: 2, 8 |
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14 Complete before class: Lecture 42: The Definite Integral Lecture 43: Fundamental Theorem of Calculus We will discuss the following exercises. Please attempt them in advance. Chapter 42: 4, 6, 12 Chapter 43: 2, 6, 12, 18 |
15 Complete before class: Lecture 44: Working with Integrals Lecture 45A: The Substitution Rule We will discuss the following exercises. Please attempt them in advance. Chapter 44: 2, 6, 8, 12, 18 |
16 Complete before class: Lecture 45B: Substitution, Continued Lecture 46: Conclusion 2:00-3:00 Quiz review 3:00-3:30 QUIZ 4 (Lectures 40, 42, 43) [Blank | Solved] 3:45-4:55 Exam Review We will discuss the following exercises. Please attempt them in advance. Chapter 45: 6, 8, 10, 14, 18 Sample quiz (Lecture 42): [Blank | Solved] Sample quiz (Lectures 43, 45A) [Blank | Solved] (only #2 is from Lecture 45A) |
17 1:00-1:55, Review 2:00-4:55, FINAL EXAM See the Final Exam Guide CLASS ENDS |
18 University closed; No class Optional: Because of our extremely short summer session, we did not cover the following topics that are usually covered in MATH 200. For completeness, you may wish to study these on your own time. Lecture 28: Logarithmic Differentiation Lecture 29: Related Rates |
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