Short Calculus

MATH - 16A

General Information

Instructor: Indrajit Jana
Meeting: OLSON 118; MWF 8:00-9:40 am
Textbook: I will follow the textbook "Calculus: An Applied Approach, 7th Edition, by Larson/Edwards"
Syllabus: The syllabus can be found here.
Important Dates: See the summer session calendar here.
Office Hours: MWF 1:00-2:00pm or by appointment, in MSB 2229 or 2240
Extra Help: Math drop in tutoring, 26 South Hall, Monday - Thursday 9:00-12:00 & 1:00-4:00pm.

What's new

(Allow pop up)

Important

ALL students who register in MAT 16A will be required to take the Math Placement Exam. This means we will no longer accept SAT-M or AP scores. For MAT 16A you are required to take the Math Placement Exam regardless if you passed MAT 12 (or an equivalent course elsewhere). In other words, remember this: everyone is taking the exam. For more info click here .

Homework, Exams

There will be weekly homework and in class quizzes. Homework will not be collected but it is STRONGLY recommended to solve the problems by your own. Each Friday at the beginning or towards end of the lecture you will have in class quiz. I will pick up one or two problems randomly from the homework problem set and ask you to solve the problem in class (10-15 mins). Sometimes the quiz problem may not be exactly same as the homework problems but it will be similar to one of those problems. There will be one final exam.

Note, there are NO MAKEUP EXAMS!

Grading Policy

The grading policy is the following
Quiz: 40%
Final Exam: 60%
Grading curve will be decided later depending on the class performance.

SDC

If you need any special arrangement please contact me as early as possible. More precisely, SDC requires me to post the following message.
Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Student Disability Center (SDC). Faculty are authorized to provide only the accommodations requested by the SDC. If you have any questions, please contact the SDC at (530)752-3184 or sdc@ucdavis.edu.

Tentative Lecture schedule and Homework

Jun 24 Functions, composition of functions, and inverse EX 1.4 (page 45): 3,7, 31, 32, 33, 37, 40, 51, 55
Jun 26 Limits, Vertical and Horizontal asymptotes EX 1.5 (page 58): 1, 10, 12, 17, 20, 22, 29, 41, 50, 51
Jun 28 Continuity EX 1.6 (page 69): 5, 8, 10, 12, 13, 24, 30, 38, 46,56
Jul 1 Slope of the tangent line, definition of the derivative EX 2.1 (page 90): 7,10, 14, 22, 25, 37, 44, 45, 48, 49, 52, 54
Jul 3 Constant rule, power rule, constant multiple rule, sum and differences rules, product rule, quotient rule EX 2.2 (page 102): 1, 4, 6, 12, 15, 18, 23, 25, 26, 29, 31, 41, 44, 49, 53, 57(a), 57(d)
EX 2.4 (page 128): 5, 19, 21, 31, 37, 43
Jul 5 Derivatives of trigonometric and exponential functions Homework 6
Jul 8 Chain rule, general power rule EX 2.5 (page 138): 4, 6, 14, 27, 28, 38, 61, 64, 66
EX 8.4 (page 585): 22, 24, 25, 36.
Jul 10 Average rate change, instantaneous rate of change, velocity EX 2.3 (page 116): 18, 20, 24, 28
Jul 12 Higher order derivatives, acceleration. Implicit differentiation EX 2.6 (page 145): 5, 12, 24, 30, 36
EX 2.7 (page 152): 3, 10, 21, 24, 29, 37, 43
Jul 15 Related rates EX 2.8 (page 160): 1, 4, 10, 14, 16, 17, 19
Jul 17 Increasing and decreasing functions, critical points EX 3.1 (page 179): 1, 4, 7, 8, 17, 18, 23, 28, 33
Jul 19 Relative extrema, the first-derivative test, absolute extrema EX 3.2 (page 189): 1, 4, 7, 12, 16, 18, 25, 30, 37
Jul 22 Concavity, points of inflection, the second-derivative test EX 3.3 (page 198): 1, 4, 11, 16, 21, 23, 26, 30, 33
Jul 24 Optimization problems EX 3.4 (page 207): 2, 7, 15, 19, 26
Jul 26 Sketching graphs EX 3.6 (page 228): 1, 7, 12, 14
EX 3.7 (page 238): 11
Jul 29 Review Mock Test 1
Jul 31 Review Mock Test 2
Aug 2 Final Exam OLSON 118 (classroom), 8:00 am