#### Kelly MacArthur

Instructor Lecturer

Office: JWB 218
Email: macarthur@math.utah.edu

University of Utah
Department of Mathematics
155 S. 1400 E. JWB 233
Salt Lake City, UT
84112-0090 USA

# Math1210 Calculus 1 Summer, 2018

### Class Schedule/Information

• Calculus 1 Lecture Videos (Note: All videos listed below by name refer to videos on this link.)

## Before classes start

• Quiz 0 on Monday will cover algebra and trigonometry topics that will be necessary in this class
• For Monday's lecture, watch videos:
1 Slope of a Line (Review)
2 Introduction to Limits (1.1)
3 Limit Properties (1.3)
4A & 4B Limits at Infinity (1.5)

## Monday, May 14

• Quiz 1 tomorrow will cover sections 1.1 and 1.3
• For tomorrow's lecture, watch videos:
4C Squeeze Theorem (rest of 1.5)
6 Continuity (1.6)
7 Slope of a Curve (2.1)

## Tuesday, May 15

• Quiz 2 tomorrow will cover sections 1.5, 1.6
• For tomorrow's lecture, watch videos:
8 Two Problems, One Theme (2.1)
5 Trigonometric Limits (1.4)
9 The Derivative (2.2)

## Wednesday, May 16

• Quiz 3 tomorrow will cover sections 2.1 and 2.2
• For tomorrow's lecture, watch videos:
10 Derivative Rules (2.3)

## Thursday, May 17

• Midterm 1 tomorrow will cover sections 1.1, 1.3-1.6, 2.1-2.3

## Friday, May 18

• Quiz 4 Monday will cover sections 1.4 and 2.3
• For Tuesday's lecture, watch videos:
11 Derivative of Trigonometric Functions (2.4)
12 The Chain Rule (2.5)
13 Higher Order Derivatives (2.6)

## Monday, May 21

• Quiz 5 tomorrow will cover sections 2.4, 2.5 & 2.6
• For tomorrow's lecture, watch videos:
14A & B Implicit Differentiation (2.7)
15A & B Related Rates (2.8)
15.5 Differentials & Approximations (2.9)

## Tuesday, May 22

• Quiz 6 tomorrow will cover sections 2.7, 2.8, and 2.9
• For tomorrow's lecture, watch videos:
16A & B Maximum and Minimum Values (3.1)
17A, B & C Monotonicity & Concavity (3.2)
18A & B Local Extrema (3.3)

## Wednesday, May 23

• Quiz 7 tomorrow will cover sections 3.1-3.3
• For tomorrow's lecture, watch videos:
19A & B Sketching the Graph of a Function (3.5)

## Thursday, May 24

• Midterm 2 tomorrow will cover sections 2.4-2.9, 3.1-3.3

## Friday, May 25

• Quiz 8 on Tuesday will cover sections 3.2 and 3.3
• For Tuesday's lecture, watch videos:
20.5 Optimization Word Problems (parts 1 and 2) (3.4)
Note: Monday is a holiday, there is no school! :)

## Monday, May 28

This is a school holiday (Memorial Day)...your assignment for today is to relax and have some fun!

## Tuesday, May 29

• Quiz 9 tomorrow will cover sections 3.4 and 3.5
• For tomorrow's lecture, watch videos:
20 Mean Value Theorem (3.6)
21A & B Solving Equations Numerically (3.7)
22 Antiderivatives (3.8)

## Wednesday, May 30

• Quiz 10 tomorrow will cover sections 3.6, 3.7, and 3.8
• For tomorrow's lecture, watch videos:
23 Differential Equations (3.9)
24A & B Introduction to Area (4.1)

## Thursday, May 31

• Midterm 3 tomorrow will cover sections 3.4, 3.5-3.9, 4.1

## Friday, June 1

• Quiz 11 Monday will cover sections 3.9 and 4.1
• For Monday's lecture, watch videos:
25A & B The Definite Integral (4.2)
26 The First Fundamental Theorem of Calculus (4.3)
27 The Second Fundamental Theorem of Calculus (4.4)
Note: Lecture Video #28C is an extra lecture with lots of integral practice. If you are having a hard time with u-substitution, I would highly recommend that video lecture.

## Monday, June 4

• Quiz 12 tomorrow will cover sections 4.2, 4.3, and 4.4
• For tomorrow's lecture, watch videos:
28A & B The Mean Value Theorem for Integrals (4.5)
29A & B Area of a Plane Region (5.1)
30A & B Volume of Solids--Disk & Washer Methods (5.2)

## Tuesday, June 5

• Quiz 13 tomorrow will cover sections 4.5, 5.1, and 5.2
• For tomorrow's lecture, watch videos:
30C & D Volume of Solids--Shell Method/More Practice (5.3)
31A & B & C Length of a Plane Curve & Surface Area (5.4)
32 Work (5.5)

## Wednesday, June 6

• Quiz 14 tomorrow will cover sections 5.3, 5.4, and 5.5
• For tomorrow's lecture, start doing the final review problems.

## Thursday, June 7

• The final exam tomorrow will cover all sections covered in this course, which is most of chapters 1-5.

## Friday, June 8

• The final celebration of what you know from 1210 is today!

### Miscellaneous

• Tangent/Secant lines vs. trigonometric functions

• Unit Circle (Trig)

• Notes on Limits

• 5.3 #23(c) (from homework)

• Book Formulas Table

• Last few examples from chapter 5 notes (worked out)

### Algebra/Arithmetic/Trigonometry Reviews

• Old Quiz (on Fraction Arithmetic and Rules of Exponents) and Key
Note: If you need review of rules of exponents, go here and watch 5.1 Integer Exponents and/or 7.1 Radicals and Rational Exponents lecture videos (or read through the post notes)..

• Fraction Arithmetic (with Key)
Note: If you need review of arithmetic with rational expressions (fractions), go here and watch the 6.2, 6.3 and/or 6.4 lecture videos on arithmetic with rational expressions (or read through the post notes).

• Dividing Polynomials (with Key)
Note: If you need a lecture video to remind you how to do polynomial division, you can go here and watch the 6.5 Dividing Polynomials video lecture. For synthetic division review, you can watch the 2.3 Synthetic Division lecture video on this page (or read through the post notes)..

• Trigonometry Review (trig functions of common angles)

• Practice finding asymptotes of rational functions and Key

• A family of algebraic/trigonometric function graphs that you should know. (Note: these all have cool animations so you can see how transformations change the base graph.)

### Exam Reviews

• Midterm 1 Review: (covers sections 1.1, 1.3-1.6, 2.1-2.3)
Note: For the exam, you may bring one sheet of paper (8.5x11 inches) of notes (front and back). No electronics allowed during the exam.

2. Chapter 1 Review (page 90-91, in text book)
Concepts Test Problems #1, 2, 3, 5-8 all, 11, 12, 18, 19, 20
Sample Test Problems #1, 3, 5, 7, 9, 10, 11, 13, 15, 16, 17, 18, 19, 20, 24, 25, 29, 31, 33

Chapter 2 Review (page 147-149, in text book)
Concepts Test Problems #7, 10, 11, 16
Sample Test Problems #1(a-e, g), 5-8 all, 9, 11, 38

3. In addition to these problems, I would recommend re-doing the quiz problems, if you need more practice.

4. You can also find a bunch of past Math1210 exams here along with their solution keys. They were written by a different instructor, but they're still great practice. (Look through some of the Exam 1 links.)

• Midterm 2 Review: (covers sections 2.4-2.9, 3.1-3.3)
Note: For the exam, you may bring one sheet of paper (8.5x11 inches) of notes (front and back). No electronics allowed during the exam.

1. Chapter 2 Review (page 147-149, in text book)
Concepts Test Problems #16, 18, 19, 20, 23, 26, 27, 28, 29, 32, 33, 36
Sample Test Problems #1(f), 13-33 all, 35-41 all, 43, 44, 46, 47

Chapter 3 Review (page 210-211, in text book)
Concepts Test Problems #1-15 all, 21, 22, 24, 26, 27, 32
Sample Test Problems #1-37 odd

2. Homemade Extra Review and its Key

3. Extra Practice for Sketching Graphs and Story Problems (do #1, 3-6, 9, 12-17, 20) and its Key

4. Extra Midterm 2 Review Problems (don't worry about #12) and its key

• Midterm 3 Review: (covers sections 3.4, 3.5, 3.6, 3.8, 3.9, 4.1)
Note: For the exam, you may bring one sheet of paper (8.5x11 inches) of notes (front and back). No electronics allowed during the exam.

1. Chapter 3 Review (page 209-211, in text book)
Concepts Test Problems #17, 18, 19-26 all, 35, 36, 41, 42, 43, 45
Sample Test Problems #40-43 all, 45, 49, 50, 53-75 odd

Chapter 4 Review (page 270-273, in text book)
Concepts Test Problems #1, 4, 7, 8, 9, 16
Sample Test Problems #18-21 all

2. Homemade Extra Review (skip #9 and 11) and Key

Extra Practice for Sketching Graphs and Story Problems (do story problems #2, 7, 8, 10, 11, 18, 19, and graphing problems) and Key

3. Another great site for optimization problems

4. Extra Optimization Story Problems (a bit challenging)

• Final Exam Review:

1. Final Exam Topics List

2. Extra Final Review Problems and Extra Final Review Key (Answer to #5b is missing the denominator, #7d is missing a factor of 2, and #37 should be 1/(4pi) .)

3. Final Review Book Assignment

4. Another teacher's reviews:
his Midterm 1 Do #4, 5, 7-12 and here is the Key
his Midterm 2 Do #3-6, 8 and here is the Key
his Midterm 3 Do #3, 6-9 and here is the Key
his Midterm 4 Do #1-5 and here is the Key

5. Another Source for past exams (from another instructor)

6. Also, you should go back to the "Extra Practice for Sketching Graphs and Story Problems" link above (under Midterm 3 Review) and do ALL those problems!!