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 | Asynchronous |
Discussion Sections: |
Tu, Th | Various times, in person |
Office Hours: |
Friday, | 10:00am - 11:00am |
Microsoft Teams |
Help Desk: |
Weekly Schedule | |
Microsoft Teams |
Wed, Aug 26 | Classes begin |
Thurs, Sept 3 | Last day to add/drop classes or request CR/NC option |
Mon, Sept 7 | Labor Day, no classes |
Fri, Oct 9 — Thurs, Oct 15 | Midterm exams |
Fri, Oct 16 | Midterm break, no classes |
Fri, Nov 13 | Last day to withdraw from classes |
Nov 27 - Dec 1 | Thanksgiving break, no classes |
Tues, Nov 24 | Last day of classes |
Wed, Dec 9, 10:30am - 12:30pm | Math 1450 final exam |
# | Date | Topics | Ungraded Textbook HW |
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Week 1 | |||
1 | Wed, Aug 26 |
Syllabus - Syllabus Video What is Calculus? - Video Demos: » Tangent Line » Integral (just the function) Section 1.1 - Functions and Change - 1.1 - Lecture Demos: » Example Function #1 » Example Function #2 » Example Function #3 » Two Points Determine a Line - 1.1 - Exercises |
Section 1.1: # 2, 6, 7, 9, 10, 13, 18, 35, 36, 42, 45, 55 |
Thurs, Aug 27 | Discussion Sections | ||
2 | Fri, Aug 28 |
(Sorry about the buzzing noise you hear when I write. I'm working on fixing it!) Section 1.2 - Exponential Growth - 1.2 - Lecture Demos: » Population Growth » Exponential Growth » Exponential Decay - 1.2 - Exercises |
Section 1.2: # 6, 7, 11, 14, 15, 25, 29, 36, 40, 42, 59 |
Week 2 | |||
3 | Mon, Aug 31 |
Section 1.3 - New Functions from Old - 1.3 - Lecture Demos: » Vertical Shift » Horizontal Shift » Vertical Stretch » Horizontal Stretch » All Transformations - 1.3 - Exercises |
Section 1.3: # 1, 2, 10, 11, 13, 21, 24, 27, 28, 33, 37, 55, 58, 60, 76 |
Tues, Sept 1 | Discussion Sections | ||
4 | Wed, Sept 2 |
Section 1.4 - Logarithmic Functions - 1.4 - Lecture Demos: » Inverse Functions - 1.4 - Exercises |
Section 1.4: # 1, 2, 6, 7, 10, 14, 17, 22, 27, 31, 35, 41, 45, 62, 72 |
Thurs, Sept 3 |
Discussion Sections Practice Mini-Exam 0 – 1.1, 1.2, 1.3 |
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5 | Fri, Sept 4 |
Section 1.5 - Trigonometric Functions - 1.5 - Lecture Demos: » Points on a Circle » Sine » Cosine » Tangent » Arcsin » Sin/Cos Transformation - 1.5 - Exercises |
Section 1.5: # 1, 2, 3, 4, 5, 6, 7, 10, 26, 27, 30, 32, 34, 89, 90, 96 |
Week 3 | |||
Mon, Sept 7 | Labor Day — No lecture. | ||
Tues, Sept 8 | Discussion Sections | ||
6 | Wed, Sept 9 |
Practice Wiley Homework 0 due Wiley Homework 1 due – 1.1, 1.2, 1.3, 1.4, 1.5 Section 1.6 - Powers, Polynomials, and Rational Functions - 1.6 - Lecture Demos: » Powers vs. Exponentials - 1.6 - Exercises |
Section 1.6: # 3, 4, 7, 8, 9, 12, 16, 18, 20, 22, 24-32, 45, 74, 80 |
Thurs, Sept 10 |
Discussion Sections Mini-Exam 1 – 1.1, 1.2, 1.3, 1.4, 1.5 |
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7 | Fri, Sept 11 |
Section 1.7 - Introduction to Limits and Continuity - 1.7 - Lecture - 1.7 - Exercises |
Section 1.7: # 2, 3, 4, 5, 7, 12, 13, 14, 15, 17, 19, 20, 21, 23, 26, 28, 32, 35, 40, 46, 74, 76 |
Week 4 | |||
8 | Mon, Sept 14 |
Section 1.8 - Extending the Idea of a Limit - 1.8 - Lecture - 1.8 - Exercises |
Section 1.8: # 2, 3, 4, 8, 13, 17, 27, 28, 31, 34, 57, 65 |
Tues, Sept 15 | Discussion Sections | ||
9 | Wed, Sept 16 |
Wiley Homework 2 due – 1.6, 1.7, 1.8 Section 1.9 - Further Limit Calculations Using Algebra - 1.9 - Lecture (Error Alert: At 10:42 I said (1-5)/2 = 2, but it should be -2, and so the factor should be (x+2).) Demos: » Squeeze Theorem - 1.9 - Exercises |
Section 1.9: # 3, 7, 9, 11, 12, 15, 16, 20, 28, 30, 32, 33, 35, 39, 41, 45, 50, 51, 53 |
Thurs, Sept 17 |
Discussion Sections Mini-Exam 2 – 1.6, 1.7, 1.8 |
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10 | Fri, Sept 18 |
Section 2.1 - How Do We Measure Speed? - 2.1 - Lecture - 2.1 - Exercises |
Section 2.1: # 2, 3, 4, 7, 13, 16, 33 |
Week 5 | |||
11 | Mon, Sept 21 |
Section 2.2 - The Derivative at a Point - 2.2 - Lecture Demos: » Secant Line » Tangent Line » Sine Example » Exponential Example (part 1) » Exponential Example (part 2) - 2.2 - Exercises |
Section 2.2: # 1, 9, 12, 20, 23, 28, 29, 31, 45, 47 |
Tues, Sept 22 | Discussion Sections | ||
12 | Wed, Sept 23 |
Section 2.3 - The Derivative Function - 2.3 - Lecture - 2.3 - Exercises Wiley Homework 3 due – 1.9, 2.1, 2.2 |
Section 2.3: # 4, 8, 9, 10, 11, 12, 16, 17, 20, 24, 27, 33, 40, 44, 45, 46, 47 |
Thurs, Sept 24 |
Discussion Sections Mini-Exam 3 – 1.9, 2.1, 2.2 |
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13 | Fri, Sept 25 |
Section 2.4 - Interpretations of the Derivative - 2.4 - Lecture - 2.4 - Exercises |
Section 2.4: # 1, 3, 6, 10, 11, 19, 32 |
Week 6 | |||
14 | Mon, Sept 28 |
Section 2.5 - The Second Derivative - 2.5 - Lecture Demos: » Second Derivative example - 2.5 - Exercises |
Section 2.5: # 2, 4, 8-13, 19, 21, 23, 36, 40 |
Tues, Sept 29 | Discussion Sections | ||
15 | Wed, Sept 30 |
Section 2.6 - Differentiability - 2.6 - Lecture - 2.6 - Exercises Demos: » Function from exercise Wiley Homework 4 due date moved to Friday. |
Section 2.6: # 2, 3, 4, 5, 11, 14 |
Thurs, Oct 1 |
Discussion Sections Mini-Exam 4 – 2.3, 2.4, 2.5 |
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16 | Fri, Oct 2 |
Section 3.1 - Powers and Polynomials - 3.1 - Lecture Demos: » Constant Multiple » Sum and Difference - 3.1 - Exercises Wiley Homework 4 due – 2.3, 2.4, 2.5 |
Section 3.1: # 7, 9, 14, 15, 16, 17, 23, 25, 26, 41, 63, 64, 68, 69, 103 |
Week 7 | |||
17 | Mon, Oct 5 |
Section 3.2 - The Exponential Function - 3.2 - Lecture Demos: » Exponential Function 1 » Exponential Function 2 - 3.2 - Exercises |
Section 3.2: # 1, 2, 3, 8, 10, 11, 12, 13, 24, 32, 36, 37, 45, 50, 51, 53 |
Tues, Oct 6 | Discussion Sections | ||
18 | Wed, Oct 7 |
Section 3.3 - The Product and Quotient Rules - 3.3 - Lecture - 3.3 - Exercises Wiley Homework 5 due – 2.6, 3.1, 3.2 |
Section 3.3: # 1, 2, 5, 6, 9, 10, 13, 14, 22, 23, 25, 26, 33, 34, 35, 44, 47, 57, 59, 71 |
Thurs, Oct 8 |
Discussion Sections Mini-Exam 5 – 2.6, 3.1, 3.2 |
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19 | Fri, Oct 9 |
Section 3.4 - The Chain Rule - 3.4 - Lecture - 3.4 - Exercises |
Section 3.4: # 5, 6, 13, 18, 19, 22, 29, 31, 39, 44, 58, 61, 67, 69, 73ab, 83, 93, 98 |
Week 8 | |||
20 | Mon, Oct 12 |
Section 3.5 - The Trigonometric Functions - 3.5 - Lecture Demos: » Derivative of sin » Derivative of tan - 3.5 - Exercises |
Section 3.5: # 2, 4, 5, 6, 7, 11, 15, 17, 19, 23, 41, 45, 50, 51, 54, 55, 61 |
Tues, Oct 13 | Discussion Sections | ||
21 | Wed, Oct 14 |
Section 3.6 - The Chain Rule and Inverse Functions - 3.6 - Lecture Demos: » Derivative of the inverse - 3.6 - Exercises Wiley Homework 6 due – 3.3, 3.4, 3.5 |
Section 3.6: # 1, 3, 5, 6, 9, 10, 16, 19, 21, 27, 28, 33, 39, 43, 55, 61, 78 |
Thurs, Oct 15 |
Discussion Sections Mini-Exam 6 – 3.3, 3.4, 3.5 |
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Fri, Oct 16 | Midterm Break — No lecture. | ||
Week 9 | |||
22 | Mon, Oct 19 |
Section 3.7 - Implicit Functions - 3.7 - Lecture Demos: » Example 1 » Example 2 » Example 3 » Tangent Lines » Circle - 3.7 - Exercises Demos: » Exercise 1 » Exercise 2 » Exercise 3 » Exercise 4 |
Section 3.7: # 1, 4, 6, 7, 11, 14, 16, 17, 18, 22, 25, 26, 27, 32, 39 |
Tues, Oct 20 | Discussion Sections | ||
23 | Wed, Oct 21 |
Section 3.8 - Hyperbolic Functions - 3.8 - Lecture Demos: » cosh and sinh » cosh graph » sinh graph - 3.8 - Exercises Wiley Homework 7 due – 3.6, 3.7 |
Sectoin 3.8: # 1, 2, 4, 5, 6, 7, 8, 10, 14, 43, 45 |
Thurs, Oct 22 |
Discussion Sections Mini-Exam 7 – 3.6, 3.7 |
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24 | Fri, Oct 23 |
Section 3.9 - Linear Approximation and the Derivative - 3.9 - Lecture Demos: » zoom in #1 » zoom in #2 » sin linear approximation » exponential growth linear approximation - 3.9 - Exercises |
Section 3.9: # 1, 3, 7, 12a, 13, 14, 18, 23, 39 |
Week 10 | |||
25 | Mon, Oct 26 |
Section 3.10 - Theorems About Differentiable Functions - 3.10 - Lecture - 3.10 - Exercises |
Section 3.10: # 2, 3, 5, 6, 8, 9, 10, 11, 14, 18, 19, 23 |
Tues, Oct 27 | Discussion Sections | ||
26 | Wed, Oct 28 |
Section 4.1- Using First and Second Derivatives - 4.1 - Lecture - 4.1 - Exercises Wiley Homework 8 due – 3.8, 3.9, 3.10 |
Section 4.1: # 1, 2, 3, 4, 7, 10, 11, 12, 13, 14, 15, 17, 18, 25, 27, 39, 41, 43, 71, 72, 73, 74, 75 |
Thurs, Oct 29 |
Discussion Sections Mini-Exam 8 – 3.8, 3.9, 3.10 |
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27 | Fri, Oct 30 |
Section 4.2 - Optimization - 4.2 - Lecture - 4.2 - Exercises |
Section 4.2: # 1, 2, 4, 7, 8, 10, 11, 15, 19, 23, 27, 30, 41, 43, 65, 67 |
Week 11 | |||
28 | Mon, Nov 2 |
Section 4.3 - Optimization & Modeling - 4.3 - Lecture - 4.3 - Exercises |
Section 4.3: # 2, 3, 6, 8, 11, 15, 23, 29 |
Tues, Nov 3 | Discussion Sections | ||
29 | Wed, Nov 4 |
Section 4.6 - Related Rates - 4.6 - Lecture - 4.6 - Exercises Wiley Homework 9 due – 4.1, 4.2, 4.3 |
Section 4.6: # 3ab, 7, 11, 12, 24, 31, 34, 51, 61, 62 |
Thurs, Nov 5 |
Discussion Sections Mini-Exam 9 – 4.1, 4.2, 4.3 |
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30 | Fri, Nov 6 | — Review Day — | |
Week 12 | |||
31 | Mon, Nov 9 |
Section 4.7 - L'Hopital's Rule, Growth, and Dominance - 4.7 - Lecture - 4.7 - Exercises |
Section 4.7: # 1, 5, 9, 11, 14, 17, 18, 23, 27, 39, 41, 52, 55, 59, 62, 67 |
Tues, Nov 10 | Discussion Sections | ||
32 | Wed, Nov 11 |
Section 5.1 - How Do We Measure Distance Traveled? - 5.1 - Lecture - 5.1 - Exercises Wiley Homework 10 due – 4.6, 4.7 |
Section 5.1: # 2, 5, 7, 8, 13, 17, 18, 19, 20, 22, 31, 32, 38 |
Thurs, Nov 12 |
Discussion Sections Mini-Exam 10 – 4.6, 4.7 |
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33 | Fri, Nov 13 | — Review Day — | |
Week 13 | |||
34 | Mon, Nov 16 |
Section 5.2 - The Definite Integral - 5.2 - Lecture - 5.2 - Exercises |
Section 5.2: # 1, 3, 5, 19bc, 21, 23, 36, 37, 38, 50, 53 |
Tues, Nov 17 | Discussion Sections | ||
35 | Wed, Nov 18 |
Section 5.3 - The Fundamental Theorem and Interpretations - 5.3 - Lecture - 5.3 - Exercises Wiley Homework 11 due – 5.1, 5.2 |
Section 5.3: # 1, 3, 4, 5, 6, 7, 11, 13, 19, 21, 31, 63 |
Thurs, Nov 19 |
Discussion Sections Mini-Exam 11 – 5.1, 5.2 |
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36 | Fri, Nov 20 | — Review Day — | |
Week 14 | |||
37 | Mon, Nov 23 |
Section 5.4 - Theorems About Definite Integrals - 5.4 - Lecture Demos: » approximating integrals - 5.4 - Exercises |
Section 5.4: # 1, 2, 4, 9, 10, 11, 15, 18, 21, 22, 23, 27, 29, 31, 33, 73, 74, 75, 79 |
Tues, Nov 24 | Discussion Sections |