Functions of one variable, limits, and continuity. The derivative and the definite integral with applications. Prereq: MATH 1101 or equiv. Equivalent is three to four years of college preparatory mathematics including topics listed in description of MATH 1101.
Lectures: |
M, W, F | 11:00am - 11:50am |
| Cudahy 001 | ||
Discussion Sections: |
Tu, Th | Various times |
Office Hours: |
Tuesday, | 12:30pm - 1:30pm |
| Friday, | 8:00am - 9:00am | |
| and by appointment | ||
Help Desk: |
Weekly Schedule |
| Mon, Aug 29 | Classes begin |
| Mon, Sept 5 | Labor Day, no classes |
| Tues, Sept 6 | Last day to add/drop classes or request CR/NC option |
| Thurs, Oct 13 — Wed, Oct 19 | Midterm exams |
| Thurs, Oct 20 — Fri, Oct 21 | Midterm Break, no classes |
| Fri, Nov 18 | Last day to withdraw from classes |
| Fri, Dec 9 | Last day of classes |
| Mon, Dec 12 1:00pm - 3:00pm |
Math 1450 final exam |
| # | Date | Topics | Video Links and Ungraded Textbook HW |
|---|---|---|---|
| Week 1 | |||
| 1 | Mon, Aug 29 | Syllabus | Lecture Notes |
| Tues, Aug 30 |
Discussion Sections Calculus Pretest (does not count for grade) | ||
| 2 | Wed, Aug 31 |
Section 1.1 - Functions and Change (started) Demos: » Example Function #1 » Example Function #2 » Example Function #3 |
Lecture Notes (Fall 2020) Section 1.1 - Lecture (Fall 2020) Section 1.1 - Exercises Sugg. HW: Section 1.1: # 2, 35, 36, 37, 38, 39, 40, 41, 42 |
| Thurs, Sept 1 | Discussion Sections | ||
| 3 | Fri, Sept 2 |
Section 1.1 - Functions and Change (finished) Section 1.2 - Exponential Functions (started) Demos: » Two Points Determine a Line » Population Growth » Exponential Growth |
Lecture Notes (Fall 2020) Section 1.2 - Lecture (Fall 2020) Section 1.2 - Exercises Sugg. HW: Section 1.1: # 5, 8, 9, 11, 12, 18, 45, 55 Section 1.2: # 13, 15, 25, 27, 29, 44, 65 |
| Week 2 | |||
| Mon, Sept 5 | Labor Day - no class | ||
| Tues, Sept 6 | Discussion Sections | ||
| 4 | Wed, Sept 7 |
Wiley Plus Practice HW #0 Due Section 1.2 - Exponential Functions (finished) Section 1.3 - New Functions From Old (started) Demos: » Exponential Growth » Exponential Decay » Vertical Shift |
Lecture Notes (Fall 2020) Section 1.3 - Lecture (Fall 2020) Section 1.3 - Exercises Sugg. HW: Section 1.2: # 6, 7, 10, 11, 37, 41 Section 1.3: # 1c, 2c, 3c, 4 |
| Thurs, Sept 8 |
Discussion Sections Quiz 1 — covers Section 1.1 only | ||
| 5 | Fri, Sept 9 |
Wiley Plus HW #1 Due — Section 1.1 Section 1.3 - New Functions From Old (continued) Demos: » Vertical Shift » Horizontal Shift » Vertical Stretch » Horizontal Stretch » All Transformations |
Lecture Notes Sugg. HW: Section 1.3: # 1, 2, 3, 5, 7, 10, 11, 15, 16, 17, 41, 42 |
| Week 3 | |||
| 6 | Mon, Sept 12 |
Section 1.3 - New Functions From Old (finished) Section 1.4 - Logarithmic Functions (started) Demos: » Logs are the inverses of exponentials |
Lecture Notes Sugg. HW: Section 1.3: # 31, 32, 33, 37, 62 ,63, 64, 80, 81 Section 1.4: # 7, 8, 25, 27, 31 |
| Tues, Sept 13 | Discussion Sections | ||
| 7 | Wed, Sept 14 |
Wiley Plus HW #2 Due — Sections 1.2 and 1.3 Section 1.4 - Logarithmic Functions (finished) |
Lecture Notes (Fall 2020) Section 1.4 - Lecture (Fall 2020) Section 1.4 - Exercises Sugg. HW: Section 1.4: # 1, 2, 5, 6, 10, 14, 15, 17, 22, 36, 37, 41, 45, 46, 49, 64, 66, 79 |
| Thurs, Sept 15 |
Discussion Sections Quiz 2 — Sections 1.2, 1.3, and 1.4 | ||
| 8 | Fri, Sept 16 |
Section 1.5 - Trigonometric Functions (started) Demos: » Points on a Circle » Sine » Cosine » Sin/Cos Transformation |
Lecture Notes (Fall 2020) Section 1.5 - Lecture (Fall 2020) Section 1.5 - Exercises Sugg. HW: Section 1.5: # 1-8 (just sine and cosine), 10, 11, 15, 16, 25, 27, 43, 45, 63, 89 |
| Week 4 | |||
| 9 | Mon, Sept 19 |
Section 1.5 - Trigonometric Functions (finished) Section 1.6 - Powers, Polynomials, and Rational Functions (started) Demos: » Tangent » Powers vs. Exponentials |
Lecture Notes (Fall 2020) 1.6 - Lecture (Fall 2020) 1.6 - Exercises Sugg. HW: Section 1.5: # 1-8 (just tangent), 29 Section 1.6: # 3, 4, 5, 6, 9, 10, 11, 12, 17, 78, 79 |
| Tues, Sept 20 | Discussion Sections | ||
| 10 | Wed, Sept 21 |
Wiley Plus HW #3 Due — Sections 1.4, 1.5, and a little of 1.6 Section 1.6 - Powers, Polynomials, and Rational Functions (finished) |
Lecture Notes Sugg. HW: Section 1.6: # 7, 18, 19, 21, 22, 23, 33, 34, 35, 45, 47 |
| Thurs, Sept 22 |
Discussion Sections Quiz 3 — Sections 1.5, 1.6 | ||
| 11 | Fri, Sept 23 |
Section 1.7 - Introduction to Limits and Continuity (started) |
Lecture Notes (Fall 2020) 1.7 - Lecture (Fall 2020) 1.7 - Exercises Sugg. HW: Section 1.7: # 1, 2, 3, 4, 5, 7, 11, 12, 13, 14, 15, 17, 19, 31, 33, 43, 45, 57, 59, 89 |
| Week 5 | |||
| 12 | Mon, Sept 26 |
Section 1.7 - Introduction to Limits and Continuity (finished) Section 1.8 - Extending the Idea of a Limit (started) |
Lecture Notes (Fall 2020) 1.8 - Lecture (Fall 2020) 1.8 - Exercises Sugg. HW: Section 1.7: # 23, 24, 25, 27, 28 Section 1.8: # 1, 2, 3, 17, 19, 21, 23, 27, 28, 37, 44, 45, 47, 65 |
| Tues, Sept 27 | Discussion Sections | ||
| 13 | Wed, Sept 28 |
Exam 1 — covers all material up to and including Monday, Sept. 26 Wiley Plus HW #4 Due — covers 1.6, 1.7, some of 1.8 | |
| Thurs, Sept 29 |
Discussion Sections Quiz 4 — covers 1.6 and 1.7 | ||
| 14 | Fri, Sept 30 |
Section 1.8 - Extending the Idea of a Limit (finished) Section 1.9 - Further Limit Calculations Using Algebra (started) |
Lecture Notes (Fall 2020) 1.9 - Lecture (Fall 2020) 1.9 - Exercises Sugg. HW: Section 1.8: # 6, 7, 8, 9, 10, 11, 15, 67, 75 Section 1.9: # 1, 3, 5, 7, 9, 11, 13, 15 |
| Week 6 | |||
| 15 | Mon, Oct 3 |
Section 1.9 - Further Limit Calculations Using Algebra (finished) Section 2.1 - How Do We Measure Speed (just barely started) Demos: » Squeeze Theorem |
Lecture Notes (Fall 2020) 2.1 - Lecture (Fall 2020) 2.1 - Exercises Sugg. HW: Section 1.9: # 27, 29, 31, 33, 58, 60, 63 |
| Tues, Oct 4 | Discussion Sections | ||
| 16 | Wed, Oct 5 |
Wiley Plus HW #5 Due — covers 1.8, 1.9 Section 2.1 - How Do We Measure Speed (finished) |
Lecture Notes Sugg. HW: Section 2.1: # 1, 2, 3, 4, 5, 11, 13, 14, 15, 16, 23, 31 |
| Thurs, Oct 6 |
Discussion Sections Quiz 5 — covers 1.8, 1.9 and 2.1 | ||
| 17 | Fri, Oct 7 |
Section 2.2 - The Derivative at a Point (started and almost finished) Demos: » Secant Line » Tangent Line » Sine Example » Exponential Example (part 1) » Exponential Example (part 2) |
Lecture Notes (Fall 2020) 2.2 - Lecture (Fall 2020) 2.2 - Exercises Sugg. HW: Section 2.2: # 1, 2, 3, 4, 7, 10, 11, 12, 13, 14, 15, 21, 22, 23, 32, 39, 57, 59, 61 |
| Week 7 | |||
| 18 | Mon, Oct 10 |
Section 2.2 - The Derivative at a Point (finished) Section 2.3 - The Derivative Function (started) |
Lecture Notes (Fall 2020) 2.3 - Lecture (Fall 2020) 2.3 - Exercises Sugg. HW: Section 2.3: # 4, 5, 6, 7, 9, 11, 12, 13, 15, 17, 19, 33, 37, 39, 41, 44 |
| Tues, Oct 11 | Discussion Sections | ||
| 19 | Wed, Oct 12 |
Wiley Plus HW #6 Due — covers 2.1, 2.2 Section 2.3 - The Derivative Function (finished) Section 2.4 - Interpretations of the Derivative (started) |
Lecture Notes (Fall 2020) 2.4 - Lecture (Fall 2020) 2.4 - Exercises Sugg. HW: Section 2.3: # 2, 23, 24, 47, 48-51, 53, 61, 63 Section 2.4: # 1, 2, 4, 5, 9, 13 |
| Thurs, Oct 13 |
Discussion Sections Quiz 6 — covers 2.1, 2.2 | ||
| 20 | Fri, Oct 14 |
Section 2.4 - Interpretations of the Derivative (finished) Section 2.5 - The Second Derivative (started) Demos: » Second Derivative example |
Lecture Notes (Fall 2020) 2.5 - Lecture (Fall 2020) 2.5 - Exercises Sugg. HW: Section 2.4: # 14, 15, 23, 24, 33, 34, 35, 37 Section 2.5: # 1-13, 18 |
| Week 8 | |||
| 21 | Mon, Oct 17 |
Section 2.5 - The Second Derivative (finished) Section 2.6 - Differentiability (started) |
Lecture Notes (Fall 2020) 2.6 - Lecture (Fall 2020) 2.6 - Exercises Sugg. HW: Section 2.5: 14, 19, 21, 23, 25, 39, 41 Section 2.6: 1-6 |
| Tues, Oct 18 | Discussion Sections | ||
| 22 | Wed, Oct 19 |
Wiley Plus HW #7 Due — covers 2.3, 2.4, 2.5 Section 2.6 - Differentiability (finished) Section 3.1 - Powers and Polynomials (started, almost finished) Demos: » Constant Multiple » Sum and Difference |
Lecture Notes (Fall 2020) 3.1 - Lecture (Fall 2020) 3.1 - Exercises Sugg. HW: Section 2.6: 7, 9, 11, 13 Section 3.1: 3-9, 11-17, 19-23, 31, 33, 37 |
| Thurs, Oct 20 | Midterm Break - no class | ||
| Fri, Oct 21 | Midterm Break - no class | ||
| Week 9 | |||
| 23 | Mon, Oct 24 |
Section 3.1 - Powers and Polynomials (finished) Section 3.2 - The Exponenial Function (started and finished) Demos: » Exponential Derivative |
Lecture Notes (Fall 2020) 3.2 - Lecture (Fall 2020) 3.2 - Exercises s Sugg. HW: Section 3.1: 43, 54, 55, 61, 63, 66, 67, 68, 69, 75, 79 Section 3.2: 1-13, 26, 27, 29-35, 40, 43, 49, 52, 53, 56 |
| Tues, Oct 25 | Discussion Sections | ||
| 24 | Wed, Oct 26 |
Exam 2 Wiley Plus HW #8 Due — covers 2.6, 3.1 | |
| Thurs, Oct 27 |
Discussion Sections Quiz 7 — covers 2.6, 3.1 | ||
| 25 | Fri, Oct 28 | Section 3.3 - The Product and Quotient Rules (finished) |
Lecture Notes (Fall 2020) 3.3 - Lecture (Fall 2020) 3.3 - Exercises Sugg. HW: Section 3.3: 1, 3-17, 21, 23, 31, 32, 32, 34-37, 43, 45, 47, 49, 57, 67 |
| Week 10 | |||
| 26 | Mon, Oct 31 | Section 3.4 - The Chain Rule (finished) |
Lecture Notes (Fall 2020) 3.4 - Lecture (Fall 2020) 3.4 - Exercises Sugg. HW: Section 3.4: 1-9, 19, 20, 22, 24-30, 35, 37, 45-47, 49, 50, 59, 61, 63, 73, 77ab, 96, 97 |
| Tues, Nov 1 | Discussion Sections | ||
| 27 | Wed, Nov 2 |
Wiley Plus HW #9 Due — covers 3.2, 3.3, some 3.4 Section 3.5 - The Trigonometric Functions (finished) Demos: » Derivative of sin » Derivative of tan |
Lecture Notes (Fall 2020) 3.5 - Lecture (Fall 2020) 3.5 - Exercises Sugg. HW: Section 3.5: 2-28, 43, 51, 55, 56, 58, 59, 61, 73 |
| Thurs, Nov 3 |
Discussion Sections Quiz 8 — covers 3.2, 3.3, 3.4 | ||
| 28 | Fri, Nov 4 |
Section 3.6 - The Chain Rule and Inverse Functions (started and finished mini version) Section 3.9 - Linear Approximations and the Derivative (started) Demos: » zoom in #1 » zoom in #2 » sin linear approximation |
Lecture Notes (Fall 2020) 3.6 - Lecture (Fall 2020) 3.6 - Exercises Note: In Fall 2020 I covered more material in 3.6 than we did this semester. (Fall 2020) 3.9 - Lecture (Fall 2020) 3.9 - Exercises Sugg. HW: Section 3.6: 1-4, 7, 9-21, 33, 35, 73, 49, 50, 57, 65 Section 3.9: 1-4 |
| Week 11 | |||
| 29 | Mon, Nov 7 |
Section 3.9 - Linear Approximations and the Derivative (finished) Section 1.7 - (just the part about the increasing function theorem) Section 3.10 - Theorems about Differentiable Functions (started) Demos: » sin linear approximation » exponential growth linear approximation |
Lecture Notes (Fall 2020) 3.10 - Lecture (Fall 2020) 3.10 - Exercises Sugg. HW: Section 3.9: 5-9, 13, 15, 20, 21, 22 Section 1.7: 78, 82, 83, 86, 90, 91 Section 3.10: 1, 2, 3, 7, 9, 11, 13, 15, 16, 17, 27 |
| Tues, Nov 8 | Discussion Sections | ||
| 30 | Wed, Nov 9 |
Wiley Plus HW #10 Due — covers 3.4, 3.5, 3.6, 3.9 Section 3.10 - Theorems about Differentiable Functions (finished) Section 4.1 - Using First and Second Derivatives (started) |
Lecture Notes (Fall 2020) 4.1 - Lecture (Fall 2020) 4.1 - Exercises Sugg. HW: Section 3.10: 4, 5, 21, 25, 45-47 Section 4.1: 22a, 23a, 24a, 25a, 43, 44 |
| Thurs, Nov 10 |
Discussion Sections Quiz 9 — covers 3.4, 3.5, 3.6, 3.9 | ||
| 31 | Fri, Nov 11 | Section 4.1 - Using First and Second Derivatives (continued) |
Lecture Notes Sugg. HW: Section 4.1: 1-3, 4-8 (ignore inflection points), 9, 11, 13, 15, 17, 19, 22-25, 33, 35, 43 |
| Week 12 | |||
| 32 | Mon, Nov 14 |
Section 4.1 - Using First and Second Derivatives (finished) Section 4.2 - Optimization (started) |
Lecture Notes (Fall 2020) 4.2 - Lecture (Fall 2020) 4.2 - Exercises Sugg. HW: Section 4.1: 4-8 (inflection points), 39, 40, 41, 42, 51, 75, 76, 77 Section 4.2: 1, 2, 30-33 |
| Tues, Nov 15 | Discussion Sections | ||
| 33 | Wed, Nov 16 |
Wiley Plus HW #11 Due — covers 3.10, 4.1, 4.2 Section 4.2 - Optimization (finished) Section 4.3 - Optimization and Modeling (started) |
Lecture Notes (Fall 2020) 4.3 - Lecture (Fall 2020) 4.3 - Exercises Sugg. HW: Section 4.2: 3-8, 10-17, 21, 41, 43, 47 |
| Thurs, Nov 17 |
Discussion Sections Quiz 10 — covers 3.10, 4.1, 4.2 | ||
| 34 | Fri, Nov 18 | Section 4.3 - Optimization and Modeling (finished) |
Lecture Notes Sugg. HW: Section 4.3: 1-5, 7-10, 11, 14, 15, 20, 21, 22, 23, 24, 26a, 31, 35, 37, 47 |
| Week 13 | |||
| 35 | Mon, Nov 21 | Section 4.6 - Related Rates (started) |
Lecture Notes (Fall 2020) 4.6 - Lecture (Fall 2020) 4.6 - Exercises Sugg. HW: Section 4.6: 3, 5, 6, 7, 11, 13, 14, 19, 27, 29, 30, 32, 36, 49, 51, 59 |
| Tues, Nov 22 |
Wiley Plus HW #12 Due on TUESDAY — covers 4.3 Discussion Sections | ||
| Wed, Nov 23 | Thanksgiving Break - no class | ||
| Thurs, Nov 24 | Thanksgiving Break - no class | ||
| Fri, Nov 25 | Thanksgiving Break - no class | ||
| Week 14 | |||
| 36 | Mon, Nov 28 |
Section 4.6 - Related Rates (finished) Section 5.1 - How do we measure distance traveled? (started) |
Lecture Notes Sugg. HW: no new homework |
| Tues, Nov 29 | Discussion Sections | ||
| 37 | Wed, Nov 30 |
Exam 3 Wiley Plus HW #13 Due |
|
| Thurs, Dec 1 |
Discussion Sections Quiz 11 — covers 4.3, 4.6 | ||
| 38 | Fri, Dec 2 |
Section 5.1 - How do we measure distance traveled? (finished) Section 4.7 - L'Hopital's Rule (started) |
Lecture Notes (Fall 2020) 5.1 - Lecture (Fall 2020) 5.1 - Exercises Sugg. HW: Section 5.1: 1-19, 23, 25, 31, 32, 33, 42, 43, 47, 49, 51, 53 |
| Week 15 | |||
| 39 | Mon, Dec 5 | Section 4.7 - L'Hopital's Rule (finished) |
Lecture Notes (Fall 2020) 4.7 - Lecture (Fall 2020) 4.7 - Exercises Sugg. HW: Section 4.7: 1-19, 22-33, 54-60 |
| Tues, Dec 6 | Discussion Sections | ||
| 40 | Wed, Dec 7 |
Wiley Plus HW #14 Due— covers 4.7, 5.1 Section 5.2 - The Definite Integral |
Lecture Notes (Fall 2020) 5.2 - Lecture (Fall 2020) 5.2 - Exercises Sugg. HW: Section 5.2: 1-8, 10-12, 21, 23, 25, 35, 39, 41, 47, 49, 51 |
| Thurs, Dec 8 |
Discussion Sections Quiz 12 — covers 4.7, 5.1 | ||
| 41 | Fri, Dec 9 | Section 5.3 - The Fundamental Theorem and Interpretations |
Lecture Notes (Fall 2020) 5.3 - Lecture (Fall 2020) 5.3 - Exercises Sugg. HW: Section 5.3: 1-7, 9-19, 21, 23, 29 |
| Finals Week | |||
| Mon, Dec 12 | Final Exam, 1pm - 3pm |