MATH 16A (SECTION 001) , 198 Young , 8-8:50 am MWF




Instructor: Dr. D. A. Kouba

Last Updated: December 11, 2020


Text: CALCULUS, An Applied Approach (7th edition) by Larson and Edwards

Office: 3135 MSB (Mathematical Sciences Building)

Phone: (530) 754-0469

My Office Hours: Via Zoom


Mathematics Placement Requirement (MPR)

All students enrolling in Math 16A are required to satisfy the MPR. The MPR can only be satisfied by Passing the Math Placement Exam with an overall score of at least 30 AND a trig score of at least 2. Find further information HERE .



The following quizzes were given during Summer Session 2007, Summer Session 2008, and Summer Session 2010. You can use them as a source of optional supplemental practice problems.

Quizzes given during Summer Session 2007.

Quiz 1 , KEY ..... Quiz 2 , KEY ..... Quiz 3 , KEY ..... Quiz 4 , KEY ..... Quiz 5 , KEY ..... Quiz 6 , KEY ..... Quiz 7 , KEY ..... Quiz 8 , KEY ..... Quiz 9 , KEY

Quizzes given during Summer Session 2008.

Quiz 1 , KEY ..... Quiz 2 , KEY ..... Quiz 3 , KEY ..... Quiz 4 , KEY ..... Quiz 5 , KEY ..... Quiz 6 , KEY

Quizzes for Summer Session 2010.

Quiz 1 , KEY ..... Quiz 2 , KEY ..... Quiz 3 , KEY ..... Quiz 4 , KEY ..... Quiz 5 , KEY ..... Quiz 6 , KEY .....



The course will likely cover the following sections in our textbook : 1.1-1.6, 2.1-2.8, 3.1-3.4, 3.6-3.8, 8.1-8.4

**** Here are Basic Math Formulas .

**** Here are Algebra Review Problems.

**** Here are Trigonometry Graphs, Values, and Identities .

**** Here are copies of Worksheets , Supplemental Algebra Problems , and Supplemental Trigonometry Problems .

**** Here are Supplementary Class Handouts .

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++++++++ ..... Here are Practice Exam 1 and Solutions .

++++++++ ..... Here are Practice Exam 2 and Solutions .

++++++++ ..... Here are Practice Exam 3 and Solutions .

++++++++ ..... Here are Practice Final Exam and Solutions .

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Click here for additional optional PRACTICE PROBLEMS with SOLUTIONS found at THE CALCULUS PAGE , a website which I created.


Here are some TIPS for doing well on my exams.



Here is the Course Syllabus



HERE ARE SOLUTIONS TO Fall Quarter 2020 EXAMS :

Exam 1 Solutions

Exam 2 Solutions

Exam 3 Solutions

Final Exam Solutions



Here are Math 16A . . . . . HOMEWORK Solutions



You can get help from Graduate TA's at the Virtual Calculus Room .



HERE ARE HOMEWORK ASSIGNMENTS, LECTURE NOTES, AND SHORT VIDEOS






Bring It On !




EXAM 1 is Friday, October 16, 2020. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 6, and material from sections 1.1-1.6, 3.6, and 8.1-8.3 in the book which was presented in lecture notes through the trigonometry material Wednesday, October 14, 2020.

TYPES OF QUESTIONS FOR EXAM 1 FOR FALL 2020 (subject to change)



HERE ARE SOME RULES FOR EXAM 1.

Most of the exam questions will be homework-type, practice exam-type questions.

THE GRADING SCALE FOR EXAM 1 FOR FALL 2020 IS :

A ...... 112-125

A-/B+ ...... 108-111

B ...... 87-107

C ...... 65-86

D ...... 50-64

F ...... 0-49

EXAM 2 is Friday, November 6, 2020. It will cover handouts, lecture notes, and examples from class, homework assignments 7 through 12, and material from sections 2.1-2.4 and 8.4 in the book which was presented in lecture notes through the material on derivatives of trigonometry functions on Wenesday, October 28, 2020. You are expected to memorize all the shortcut rules for differentiation presented in class.



We can do this !



MEMORIZE the following list of derivative rules.

    1. D(c) = 0
    2. D(mx+b) = m
    3. D(f(x) +/- g(x)) = f'(x) +/- g'(x)
    4. D(c f(x)) = c f'(x)
    5. D(x^n) = n x^(n-1)
    6. (Product Rule) ... D(f(x)g(x)) = f(x)g'(x) + f'(x)g(x)
    7. (Triple Product Rule) ... D(f(x)g(x)h(x)) = f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)
    8. (Quotient Rule) ... D(f(x)/g(x)) = {g(x)f'(x) - f(x)g'(x)}/[g(x)]^2
    9. D(sin x) = cos x
    10. D(cos x) = - sin x
    11. D(tan x) = sec^2 x
    12. D(sec x) = sec x tan x
    13. D(cot x) = - csc^2 x
    14. D(csc x) = - csc x cot x


TYPES OF QUESTIONS FOR EXAM 2 FOR FALL 2020 (subject to change)



HERE ARE SOME RULES FOR EXAM 2.

Most of the exam questions will be homework-type, practice exam-type questions.

THE GRADING SCALE FOR EXAM 2 FOR FALL 2020 IS :

A ...... 112-125

B ...... 81-111

C ...... 60-80

D ...... 45-59

F ...... 0-44

EXAM 3 is Friday, December 4, 2020. It will cover handouts, lecture notes, and examples from class, homework assignments 13 through 20, and material from sections 2.5-2.8, 3.1-3.3, 3.7, and 8.4 which was presented in lecture notes through Monday, November 23, 2020. You are expected to know the 14 rules of differentiation, which were needed on Exam 2.

TYPES OF QUESTIONS FOR EXAM 3 FOR Fall 2020 (subject to change)



HERE ARE SOME RULES FOR EXAM 3.


Most of the exam questions will be homework-type, practice exam-type questions.

THE GRADING SCALE FOR EXAM 3 FOR FALL 2020 IS :

A ...... 112-125

B ...... 78-111

C ...... 55-77

D ...... 41-54

F ...... 0-40

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Your comments, questions, or suggestions can be sent via e-mail to Kouba by clicking on the following address :

kouba@math.ucdavis.edu .