Jay Pantone

Math 1450

Fall 2020, Marquette University

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

Course Information

The official syllabus is available here.

Announcements
• Aug 31: The Calculus Help Desk schedule has been announced. See the link above.
• Aug 26: There will be no class or office hours on Monday, September 7 (Labor Day).

Textbook
• Calculus, Single and Multivariable, Seventh Edition, by Hughes-Hallett, Gleason, McCallum, et. al.

Important Dates
 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

Daily Calendar
• Topics for future dates are tentative and subject to change.
• You can find a playlist with all course videos here.
# Date Topics Ungraded Textbook HW
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
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
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
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
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
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
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
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
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
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
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
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
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