Math1210 Calculus 1
Summer, 2017
Class Schedule/Information
 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 15
 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 16
 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 17
 Quiz 3 tomorrow will cover sections 2.1 and 2.2
 For tomorrow's lecture, watch videos:
10 Derivative Rules (2.3)
Thursday, May 18
 Midterm 1 tomorrow will cover sections 1.1, 1.31.6, 2.12.3
Friday, May 19
 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 22
 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 23
 Quiz 6 tomorrow will cover sections 2.7 and 2.8
 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 24
 Quiz 7 tomorrow will cover sections 2.9 and 3.1
 For tomorrow's lecture, watch videos:
19A & B Sketching the Graph of a Function (3.5)
Thursday, May 25
 Midterm 2 tomorrow will cover sections 2.42.9, 3.13.3
Friday, May 26
 Quiz 8 on Tuesday will cover sections 3.2, 3.3 and 3.5
 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 29
This is a school holiday (Memorial Day)...your assignment for today is to relax and have some fun!
Tuesday, May 30
 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 31
 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, June 1
 Midterm 3 tomorrow will cover sections 3.4, 3.53.9, 4.1
Friday, June 2
 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 usubstitution, I would highly recommend that video lecture.
Monday, June 5
 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 SolidsDisk & Washer Methods (5.2)
Tuesday, June 6
 Quiz 13 tomorrow will cover sections 4.5, 5.1, and 5.2
 For tomorrow's lecture, watch videos:
30C & D Volume of SolidsShell Method/More Practice (5.3)
31A & B & C Length of a Plane Curve & Surface Area (5.4)
32 Work (5.5)
Wednesday, June 7
 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 8
 The final exam tomorrow will cover all sections covered in this
course, which is most of chapters 15.
Friday, June 9
 The final celebration of what you know from 1210 is today!
Before classes start
Class Notes
Miscellaneous
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.)

Polynomial and Rational Function Curves

Trigonometric Function Curves

Exponential/Logarithmic Function Curves

Conic Sections (circles, ellipses, hyperbolas, parabolas)
Exam Reviews
 Midterm 1
Review: (covers sections 1.1,
1.31.6, 2.12.3)
Note: For the exam, you may bring a 4x6 inch note card of notes (front and back). No electronics allowed during the exam.
Limit and Derivative Review problems #18 (except #6(a)), from class notes (above), pages 1722
Key for Review Problems (from notes)
Chapter 1 Review (page 9091, in text book)
Concepts Test Problems #1, 2, 3, 58 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 147149, in text book)
Concepts Test Problems #7, 10, 11, 16
Sample Test Problems #1(ae, g), 58 all, 9, 11, 38
In addition to these problems, I would recommend redoing the Weekly Assignment problems, if you need more practice.
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 2.42.9, 3.13.3)
Note: For the exam, you may bring a 5x8 inch note card of notes (front and back). No electronics allowed during the exam.
Chapter 2 Review (page 147149, in text book)
Concepts Test Problems #16, 18, 19, 20, 23, 26, 27, 28, 29, 32, 33, 36
Sample Test Problems #1(f), 1333 all, 3541 all, 43, 44, 46, 47
Chapter 3 Review (page 210211, in text book)
Concepts Test Problems #115 all, 21, 22, 24, 26, 27, 32
Sample Test Problems #137 odd
Homemade Extra Review and its Key
Extra Practice for Sketching Graphs and Story Problems (do #1, 36, 9, 1217, 20) and its Key
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 a 5x8 inch note card of notes (front and back).
Chapter 3 Review (page 209211, in text book)
Concepts Test Problems #17, 18, 1926 all, 35, 36, 41, 42, 43, 45
Sample Test Problems #4043 all, 45, 49, 50, 5375 odd
Chapter 4 Review (page 270273, in text book)
Concepts Test Problems #1, 4, 7, 8, 9, 16
Sample Test Problems #1821 all
Homemade Extra Review (skip #1, 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
Another great site for optimization problems
Extra Optimization Story Problems (a bit challenging)
 Final Exam
Review:
Final Exam Topics List
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) .)
Final Review Book Assignment
Another teacher's reviews:
his Midterm 1 Do #4, 5, 712 and here is the Key
his Midterm 2 Do #36, 8 and here is the Key
his Midterm 3 Do #3, 69 and here is the Key
his Midterm 4 Do #15 and here is the Key
Another Source for past exams (from another instructor)
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!!

Polynomial and Rational Function Curves