Math 122 -- Fall 2015

Time and Place : TuTh 10:00-11:20 pm; Engineering 145

Instructor : Radu Laza

Office : Math Tower 4-121
Email :  radu.laza@stonybrook.edu

Office Hours: Tue 11:30-12:30, 2:30-3:30, 4-5, (Thr 11:30-12:30, I am advising in P143); by appointment

TAs: David Stepleton (R01, R04) and Deb Wertz (R02, R03)

Overview

This course provides a brief overview of differential and integral calculus, including exponential and logarithmic functions and the fundamental theorem. It is primarily intended for those students wanting to take only a single semester of calculus. It does satisfy the mathematics requirements for the business management, psychology, and economics majors. See the document first year mathematics at Stony Brook for other calculus courses.

The textbook for the course is Applied Calculus, 5th Edition by Hughes-Hallett et al.

Announcements

Grading


Schedule

Week ofSections CoveredRecommended exercises
(1) Aug 25, 27 Sect 1.1 - Functions
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Sect 1.2 - Linear Functions
Sec 1.3 - Rates of change
Sect 1.1 - 2,6,8,10,14,16,24
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Sect 1.2 - 2,4,6,8,10,16,20,24
Sect 1.3 - 5,6,7,10,16,18,26,28,30
HW 1 -- due Sept 3
(2) Sept 1, 3 Sect 1.5, 1.7 - Exponential Functions
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Sect 1.6 - Logarithmic Functions
Sect 1.5 - 2,6,8,10,12,16,22,26
Sect 1.7 - 2,4,6,10,12,20,26,30,32,38
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Sect 1.6 - 2,6,10,16,22,26,28,36,40
HW 2 -- due Sept 10
(3) Sept 8, 10 No class on Sept 8 (Labor Day)
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Sect 1.8 - New functions from old
Sect 1.8 - 2,4,6,10,12,14,16,20,26,32
(4) Sept 15, 17 Sect 1.9 - Power Functions
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Sect 2.1 - Instantaneous rate of change
Sect 1.9 - [1-12], 16, 17, 19, 21
"Check your understanding" Chapter 1 - 9, 11, 12, 15, 21,
24, 33, 46, 47, 53, 56, 58, 61, 64, 65, 76, 78, 81, 90, 91, 94
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Sect 2.1 - 3, 5, 8, 13, 15, 17, 21
HW 3 -- due Sept 24
(5) Sept 22, 24 Sect 2.2, 2.3 - Derivatives
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Sect 2.4 - The second derivative
Sect 2.2 - [11-18], 19, 25, 28, 31
Sect 2.3 - [1-4], 7, 9, 13, 25, 31
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Sect 2.4 - 12, 19, 22, 23, 26
HW 4 -- due Oct 1
(6) Sept 29, Oct 1 Review
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Midterm 1: Thursday, Oct 1 (in class) (covers Ch 1 and 2)
Review Section Chapter 2 - 1, 3, 5, 6, [8-13], 17, 21, 25, 31, 39, 43
"Check your understanding" Chapter 2 - 5, 7, 8, 10, 12, 16, 22, 24,
27, 31, 33, 36, 38
Midterm 1 (Fall 2012)
Sample Midterm 1 (Fall 2012)
(7) Oct 6, 8 Sect 3.1 - Differentiating power functions
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Sect 3.2 - Exponentials and logarithms
3.1 - 2, 6, 10, 14, 16, 20, 24, 32, 36, 40
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3.2 - 4, 8, 12, 16, 20, 22, 28, 34, 36
HW 5 -- due Oct 15
(8) Oct 13, 15 Sect 3.3 - Chain rule
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Sect 3.4 - Product and quotient rule
3.3 - 4, 10, 14, 18, 22, 26, 30, 32, 40
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3.4 - 2, 6, 10, 14, 28, 22, 26, 30, 34, 38
HW 6 -- due Oct 22
(9) Oct 20, 22 Sect 4.1 - Local mins and maxs
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Sect 4.2 - Inflection points
4.1. - 2, 4, 6, 8, 10, 12, 16, 24, 26
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4.2 - 2, 4, 8, 10, 12, 20, 22, 24, 26, 28
HW 7 -- due Oct 29
(10) Oct 27, 29
(Radu away/substitute)
Sect 4.3 - Global max/min
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Applications (Sect. 4.4, 4.5)
HW 8 -- due Nov 5
(11) Nov 3, 5 Review
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Midterm 2: Thursday, Nov 5 (in class) (covers Ch 3 (3.1-3.4) and 4 (4.1-4.5))
Midterm 2 (Fall 2012)
Sample Midterm 2 (Fall 2012)
(12) Nov 10, 12 (Sect 5.1, 5.2) Introduction to integrals HW 9 -- due Nov 19
(13) Nov 17, 19 (Sect 5.3, 5.5) Fundamental theorem of calculus
Areas and Integrals
HW 10 -- due Dec 3
(14) Nov 24 (Sect 6.2, 6.3) Antiderivatives, Computing Definite Integrals
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No class on Nov 26 (Thanksgiving)
HW 11 (due Dec 3)
(make-up HW)
(15) Dec 1, 3 Sect 6.6 - Substitution Rule
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Final Review
Final Exam: Wednesday, Dec 9, 11:15-1
Javits 101 (R01 and R02) and Javits 105 (R03 and R04)