Math1210 Calculus 1
Spring, 2016
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Syllabus
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Course Outline (Schedule)
- Calculus
Book Information
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Homework Assignments
- Instructions
on how to get points back for your daily Canvas
Quizzes
- Office Hours (for ALL instructors and TAs this semester)
Class Notes
- 1.1, 1.3 Notes
- 1.5, 1.6, 2.1-2.3 and 1.4 Notes
- 2.4 & Midterm 1 Review Notes
- 2.5-2.9 Notes
- 2.9-3.1 Notes
- 3.2-3.9 Notes
- 4.1-5.1 Notes
- 5.2-5.6 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: bring your homework questions from sections
1.1 and 1.3 to class.
Week 2 (January 18-22)
- Note: Monday is a holiday; there is no class.
- For Tuesday's class: watch 4A & 4B Limits at Infinity lecture videos (1.5)
- For Wednesday's class: watch 4C Squeeze Theorem and 6 Continuity lecture videos (1.6)
- For Friday's class: bring your homework questions from sections
1.5 and 1.6 to class.
Week 3 (January 25-29)
- For Monday's class: watch 7 Slope of a Curve lecture video (2.1)
- For Tuesday's class: watch 8 Two Problems, One Theme lecture video (2.1)
- For Wednesday's class: watch 9 The Derivative lecture video (2.2)
- For Friday's class: bring your homework questions from sections
2.1 and 2.2 to class.
Week 4 (February 1-5)
- 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 8-12)
- 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: bring your homework questions from sections
1.4, 2.4, 2.5 and 2.6 to class.
Week 6 (February 15-19)
- Note: Monday is a holiday; there is no class.
- For Tuesday's class: watch 14A & B Implicit Differentiation lecture videos (2.7)
- For Wednesday's class: watch 15A & B Related Rates lecture videos (2.8)
- For Friday's class: bring your homework questions from sections
2.7 and 2.8 to class.
Week 7 (February 22-26)
- For Monday's class: watch 15.5 Differentials & Approximations lecture video (2.9)
- For Tuesday's class: watch 16A & B Maximum and Minimum Values lecture videos (3.1)
- For Wednesday's class: watch 17A, B & C Monotonicity and Concavity lecture videos (3.2)
- For Friday's class: bring your homework questions from sections
2.9, 3.1 and 3.2 to class.
Week 8 (February 29-March 4)
- For Monday's class: watch 18A & B Local Extrema lecture videos (3.3)
- For Tuesday's class: watch 19A & B Sketching The Graph of a Function lecture videos (3.5)
- 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 7-11)
- For Monday's class: watch 20.5 Optimization Word Problems (parts 1 and 2) lecture videos (3.4)
- For Tuesday's class: we will use this day to practice more 3.4 problems.
- For Wednesday's class: watch 20 The Mean Value Theorem for Derivatives lecture video (3.6)
- For Friday's class: bring your homework questions from sections
3.4 and 3.6 to class.
Week 10--Important Note: The week of March 14-18 is Spring Break. There are no classes!
Week 11 (March 21-25)
- For Monday's class: watch 21A & 21B Solving Equations Numerically (Bisection and Newton's method) lecture videos (3.7)
- For Tuesday's class: watch 22 Antiderivatives lecture video (3.8)
- For Wednesday's class: watch 23 Differential Equations lecture video (3.9)
- For Friday's class: bring your homework questions from sections
3.7, 3.8 and 3.9 to class.
Week 12 (March 29-April 1)
- For Monday's class: watch 24A & 24B Introduction to Area (parts 1 and 2) lecture videos (4.1)
- For Tuesday's class: watch 25A & 25B The Definite Integral (parts 1 and 2) lecture videos (4.2)
- For Wednesday's class: watch 26 The First Fundamental Theorem of Calculus lecture video (4.3)
- For Friday's class: bring your homework questions from sections
4.1, 4.2 and 4.3 to class.
Week 13 (April 4-8)
- For Monday's class: watch 27 The Second Fundamental Theorem of Calculus lecture videos (4.4)
- For Tuesday's class: watch 28A & 28B The Mean Value Theorem for Integrals lecture videos (4.5)
- 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 14 (April 11-15)
- For Monday's class: watch 28C Extra Integration Practice and 29A Area of a Plane Region lecture videos (Integration Review and 5.1)
- For Tuesday's class: watch 29B Area of Plane Region lecture video (5.1)
- For Wednesday's class: watch 30A & 30B Volume of Solids--Disk and Washer Methods lecture videos (5.2)
- For Friday's class: bring your homework questions from sections
4.5, 5.1 and 5.2 to class.
Week 15 (April 18-22)
- For Monday's class: watch 30C & 30D Volume of Solids--Shell Method and more practice lecture videos (5.3)
- For Tuesday's class: watch 31A & 31B Length of a Plane Curve (parts 1 and 2) lecture videos (5.4)
- For Wednesday's class: watch 31C Surface Area lecture video (5.4)
- For Friday's class: bring your homework questions from sections
5.3 and 5.4 to class.
Week 16 (April 25-27)
- For Monday's class: watch 33A & 33B Moments and Center of Mass (parts 1 and 2) lecture videos (5.6)
- For Tuesday's class: be prepared to ask questions as review for the final exam.
- Note: There are NO classes on Wednesday--it's Reading Day.
Final Exam is on Friday, April 29th. I'll give you extra time by starting at 7:00 a.m. and the exam will end by 10:10 a.m. (in our usual classroom)
Week 1 (January 11-15)
Miscellaneous
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Tangent/Secant lines vs. trigonometric functions
- Unit Circle (Trig)
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Notes on Limits
- Book
Formulas Table
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 a 4x6 inch note card of notes (front and back). No electronics allowed during the exam.
Midterm 1 Review problems #1-8 (except #6(a)), from class notes (above)
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(a-e, g), 5-8 all, 9, 11, 38
In addition to these problems, I would recommend re-doing the Weekly Assignment problems, if you need more practice.
Midterm 1 Review (given out in lab sections) and its key
- Midterm 2 Review:
(covers sections 2.4-2.9, 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. You MUST have your U of U id card to show us at the end of the exam.
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
Homemade Extra Review
Homemade Extra Review KEY
Midterm 2 Review (given out in lab sections) and its key
- Midterm 3 Review:
(covers sections 3.4, 3.6, 3.8, 3.9, 4.1-4.4)
Note: For the exam, you may bring a 5x8 inch note card of notes (front and back).
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, 7, 8, 9, 11, 12, 13, 15, 17-22 all, 31, 32, 34, 35
Sample Test Problems #1-17 odd, 18-21 all, 23, 25-29 all
Homemade Extra Review and Key
Extra Practice for Sketching Graphs and Story Problems (do #2, 7, 8, 10, 11, 18, 19) and Key
Extra Optimization Story Problems (a bit challenging)
Midterm 3 Review (given out in lab sections) and its key
- Final Exam
Review:
Final Exam Topics List
Final Review Assignment
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) .)
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
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!!
Extra Final Reviews and Office Hours