Math1210 Calculus 1
Spring, 2014
Class Notes
 1.1, 1.3 Notes
 1.5, 1.6, 2.12.3 and 1.4 Notes
 2.4 & Midterm 1 Review Notes
 2.52.9 Notes
 2.93.1 Notes
 3.23.9 Notes
 4.15.1 Notes
 5.25.6 Notes
Class Schedule/Information
 For Monday's class: watch 1 Slope of a Line (Review) lecture video (review)
 For Tuesday's class: watch 2 Introduction to Limits lecture video (1.1)
 For Wednesday's class: watch 3 Limit Properties lecture video (1.3)
 For Friday's class: be prepared for the weekly quiz on sections
1.1 and 1.3; bring your homework questions to class.
Week 2 (January 1317)
 For Monday's class: watch 4A & 4B Limits at Infinity lecture videos (1.5)
 For Tuesday's class: watch 4C Squeeze Theorem and 6 Continuity lecture videos (1.6)
 For Wednesday's class: watch 7 Slope of a Curve and 8 Two Problems, One Theme lecture videos (2.1)
 For Friday's class: be prepared for the weekly quiz on sections
1.5, 1.6 and 2.1; bring your homework questions to class.
Week 3 (January 2025)
 Note: Monday is a holiday; there is no class.
 For Tuesday's class: we will finish 2.1 notes; be prepared to ask questions from 1.6 and 2.1.
 For Wednesday's class: watch 9 The Derivative lecture video (2.2)
 For Friday's class: be prepared for the weekly quiz on sections
2.1, 2.2; bring your homework questions to class.
Week 4 (January 2731)
 For Monday's class: watch 10 Derivative Rules lecture video (2.3)
 For Tuesday's class: watch 5 Trigonometric Limits lecture video (1.4)
 For Wednesday's class: be prepared to ask questions as review for first midterm.
 For Friday's class: be prepared to take the Midterm 1.
Week 5 (February 37)
 For Monday's class: watch 11 Derivative of Trigonometric Functions lecture video (2.4)
 For Tuesday's class: watch 12 The Chain Rule lecture video (2.5)
 For Wednesday's class: watch 13 Higher Order Derivatives lecture video (2.6)
 For Friday's class: be prepared for the weekly quiz on sections
2.42.6; bring your homework questions to class.
Week 6 (February 1014)
 For Monday's class: watch 14A & B Implicit Differentiation lecture videos (2.7)
 For Tuesday's class: watch 15A & B Related Rates lecture videos (2.8)
 For Wednesday's class: watch 15.5 Differentials & Approximations lecture video (2.9)
 For Friday's class: be prepared for the weekly quiz on sections
2.72.9; bring your homework questions to class.
Week 7 (February 1721)
 Note: Monday is a holiday; there is no class.
 For Tuesday's class: we will use this extra day to practice 2.8 and 2.9 problems.
 For Wednesday's class: watch 16A & B Maximum and Minimum Values lecture videos (3.1)
 For Friday's class: be prepared for the weekly quiz on sections
2.9 and 3.1; bring your homework questions to class.
Week 8 (February 2428)
 For Monday's class: watch 17A, B & C Monotonicity and Concavity lecture videos (3.2)
 For Tuesday's class: watch 18A & B Local Extrema lecture videos (3.3)
 For Wednesday's class: be prepared to ask questions as review for second midterm.
 For Friday's class: be prepared to take the Midterm 2.
Week 9 (March 37)
 For Monday's class: watch 19A & B Sketching The Graph of a Function lecture videos (3.5)
 For Tuesday's class: watch 20.5 Optimization Word Problems (parts 1 and 2) lecture videos (3.4)
 For Wednesday's class: we will use this extra day to practice 3.4 problems.
 For Friday's class: be prepared for the weekly quiz on sections
3.4 and 3.5; bring your homework questions to class.
Important Note: The week of March 1014 is Spring Break. There are no classes!
Week 10 (March 1721)
 For Monday's class: watch 20 The Mean Value Theorem for Derivatives lecture video (3.6)
 For Tuesday's class: watch 21A & 21B Solving Equations Numerically (Bisection and Newton's method) lecture videos (3.7)
 For Wednesday's class: watch 22 Antiderivatives lecture video (3.8)
 For Friday's class: turn in your weekly takehome quiz on
sections 3.6, 3.7 and 3.8; bring your homework questions to class.
Week 11 (March 2428)
 For Monday's class: watch 23 Differential Equations lecture video (3.9)
 For Tuesday's class: watch 24A & 24B Introduction to Area (parts 1 and 2) lecture videos (4.1)
 For Wednesday's class: watch 25A & 25B The Definite Integral (parts 1 and 2) lecture videos (4.2)
 For Friday's class: turn in your weekly takehome quiz on
sections 3.9, 4.1 and 4.2; bring your homework questions to class.
Week 12 (March 31April 4)
 For Monday's class: watch 26 The First Fundamental Theorem of Calculus lecture video (4.3)
 For Tuesday's class: watch 27 The Second Fundamental Theorem of Calculus lecture videos (4.4)
 For Wednesday's class: be prepared to ask questions as review for third midterm.
 For Friday's class: be prepared to take the Midterm 3.
Week 13 (April 711)
 For Monday's class: watch 28A & 28B The Mean Value Theorem for Integrals lecture videos (4.5)
 For Tuesday's class: watch 28C Extra Integration Practice and 29A Area of a Plane Region lecture videos (Integration Review and 5.1)
 For Wednesday's class: watch 29B Area of Plane Region lecture video (5.1)
 For Friday's class: turn in your weekly takehome quiz on
integration review and sections 4.5 and 5.1; bring your homework questions to class.
Week 14 (April 1418)
 For Monday's class: watch 30A & 30B Volume of SolidsDisk and Washer Methods lecture videos (5.2)
 For Tuesday's class: watch 30C & 30D Volume of SolidsShell Method and more practice lecture videos (5.3)
 For Wednesday's class: watch 31A & 31B Length of a Plane Curve (parts 1 and 2) lecture videos (5.4)
 For Friday's class: turn in your weekly takehome quiz on sections 5.2, 5.3 and 5.4; bring your homework questions to class.
Week 15 (April 2123)
 For Monday's class: watch 31C Surface Area lecture video (5.4)
 For Tuesday's class: watch 33A & 33B Moments and Center of Mass (parts 1 and 2) lecture videos (5.6)
 For Wednesday's class: be prepared to ask questions as review for
the final exam.
Week 1 (January 610)
Miscellaneous

Tangent/Secant lines vs. trigonometric functions
 Unit Circle (Trig)

Notes on Limits
 Book
Formulas Table

Example 2 (from page 38 of Notes)

Example 1b (from page 73 of Notes, section 5.4)
Algebra/Arithmetic/Trigonometry Reviews
 Daily Quiz #9 (on Fraction
Arithmetic and Rules of Exponents)
and Daily Quiz #9
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,
1.31.6, 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. You MUST have your U of U id card to show us at the end of the exam.
Midterm 1 Review problems, from notes (above)
#18 (except #6(a))
Key for Midterm 1 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 quiz problems, if you need more practice.
 Midterm 2 Review:
(covers sections 2.42.9, 3.13.3)
Note: For the exam, you may bring a 4x6 inch note card of notes (front and back). No electronics allowed during the exam. You MUST have your U of U id card to show us at the end of 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 #122 all
Homemade Extra Review
Homemade Extra Review KEY
Note: Extra midterm review sessions:
Wednesday, 2/26, 9:30 to 10:30 a.m. in LCB222
Thursday, 2/27, 8:35 to 9:25 a.m. in JTB310
Thursday, 2/27, 10:30 to 11:30 a.m. in AEB310
 Midterm 3 Review:
(covers sections 3.43.9, 4.14.3)
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. You MUST have your U of U id card to show us at the end of the exam.
Chapter 3 Review (page 209211, in text book)
Concepts Test Problems #412 all, 15, 17, 19, 21, 22, 24, 27, 36, 38, 40, 41, 42
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, 11, 14
Sample Test Problems #13, 14, 1822 all, 28, 29
Homemade Extra Review and Key
Extra Practice for Sketching Graphs and Story Problems and Key
Classroom Seat Numbers
Note: Extra midterm review sessions:
Wednesday, 4/2, 9:30 to 10:30 a.m. in LCB121
Thursday, 4/3, 8:35 to 9:25 a.m. in JTB310
Thursday, 4/3, 10:30 to 11:30 a.m. in JWB308
 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, 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
Note: Extra Final Review Sessions:
Friday, April 25, 9:30 to 11:00 a.m. in OSH 136
Monday, April 28, 11:30 a.m to 1:00 p.m. in JTB 320
Tuesday, April 29, 9:00 to 11:00 a.m., in JWB335