#### 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, 2014

### Class Schedule/Information

• Calculus 1 Lecture Videos

## 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 (1.2)
4A & 4B Limits at Infinity (1.5)

## Monday, May 12

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

## Tuesday, May 13

• Quiz 2 tomorrow will cover sections 1.6, 2.1
• For tomorrow's lecture, watch videos:
5 Trigonometric Limits (1.4)
9 The Derivative (2.2)
10 Derivative Rules (2.3)

## Wednesday, May 14

• Quiz 3 tomorrow will cover sections 1.4, 2.2 and 2.3
• For tomorrow's lecture, watch videos:
11 Derivative of Trigonometric Functions (2.4)

## Thursday, May 15

• Midterm 1 tomorrow will cover sections 1.1, 1.3-1.6, 2.1-2.4

## Friday, May 16

• Quiz 4 Monday will cover sections 1.4 and 2.4
• For Monday's lecture, watch videos:
12 The Chain Rule (2.5)
13 Higher Order Derivatives (2.6)
14A & B Implicit Differentiation (2.7)

## Monday, May 19

• Quiz 5 tomorrow will cover sections 2.5, 2.6 & 2.7
• For tomorrow's lecture, watch videos:
15A & B Related Rates (2.8)
15.5 Differentials & Approximations (2.9)
16A & B Maximum and Minimum Values (3.1)

## Tuesday, May 20

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

## Wednesday, May 21

• Quiz 7 tomorrow will cover sections 3.1, 3.2 and 3.3
• For tomorrow's lecture, watch videos:
19A & B Sketching the Graph of a Function (3.5)

## Thursday, May 22

• Midterm 2 tomorrow will cover sections 2.5-2.9, 3.1-3.3, 3.5

## Friday, May 23

• Quiz 8 Tuesday will cover section 3.5
• For Tuesday's lecture, watch videos:
20.5 Optimization Word Problems (parts 1 and 2) (3.4)
20 Mean Value Theorem (3.6)
21A & B Solving Equations Numerically (3.7)
Note: Monday is a holiday, there is no school! :)

## Monday, May 26

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

## Tuesday, May 27

• Quiz 9 tomorrow will cover sections 3.4, 3.6 & 3.7
• For tomorrow's lecture, watch videos:
22 Antiderivatives (3.8)
23 Differential Equations (3.9)
24A & B Introduction to Area (4.1)

## Wednesday, May 28

• Quiz 10 tomorrow will cover sections 3.8, 3.9, & 4.1
• For tomorrow's lecture, watch videos:
25A & B The Definite Integral (4.2)

## Thursday, May 29

• Midterm 3 tomorrow will cover sections 3.4, 3.6-3.9, 4.1-4.2

## Friday, May 30

• Quiz 11 Monday will cover sections 4.2 & some review questions
• For Tuesday's lecture, watch videos:
26 The First Fundamental Theorem of Calculus (4.3)
27 The Second Fundamental Theorem of Calculus (4.4)
28A & B The Mean Value Theorem for Integrals (4.5)
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 2

• Quiz 12 tomorrow will cover sections 4.3, 4.4, & 4.5
• For tomorrow's lecture, watch videos:
29A & B Area of a Plane Region (5.1)
30A & B Volume of Solids--Disk & Washer Methods (5.2)
30C & D Volume of Solids--Shell Method/More Practice (5.3)

## Tuesday, June 3

• Quiz 13 tomorrow will cover sections 5.1, 5.2 & 5.3
• For tomorrow's lecture, watch videos:
31A & B & C Length of a Plane Curve & Surface Area (5.4)
32 Work (5.5)
33A & B Moments & Center of Mas (5.6)

## Wednesday, June 4

• Quiz 14 tomorrow will cover sections 5.4, 5.5, & 5.6

## Thursday, June 5

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

### 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, 2.1-2.4)
Note: For the exam, you may bring a 4x6 inch note card of notes (front and back). No electronics allowed during the exam.

Midterm 1 Review problems, from notes (above)
#1-8
Key for Midterm 1 Review Problems (from notes)

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, 5-8 all, 9, 11, 16, 38

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

• Midterm 2 Review: (covers sections 2.5-2.9, 3.1-3.3, 3.5)
Note: For the exam, you may bring a 4x6 inch note card of notes (front and back). No electronics allowed during the exam.

Chapter 2 Review (page 147-149, in text book)
Concepts Test Problems #18, 19, 20, 23, 26, 27, 28, 29, 32, 33, 36
Sample Test Problems #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 #1-22 all

• Midterm 3 Review: (covers sections 3.4, 3.6-3.9, 4.1-4.2)
Note: For the exam, you may bring a 4x6 inch note card of notes (front and back). You will also need a calculator for the Newton's Method/Bisection Method problem.

Chapter 3 Review (page 209-211, in text book)
Concepts Test Problems #4-12 all, 15, 17, 19, 36, 38, 40, 41, 42
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, 11
Sample Test Problems #13, 18-22 all, 30

Extra Practice for Sketching Graphs and Story Problems and Key

Extra Optimization Story Problems (a bit challenging)

• Final Exam Review:

Final Exam Topics List

Final Review Assignment

Extra Final Review Problems and Extra Final Review Key (Answer to #37 should be 1/(4pi) .)

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