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)
The textbook for the course is Applied Calculus, 5th Edition by Hughes-Hallett et al.
Week of | Sections Covered | Recommended exercises | |
(1) Aug 25, 27 | Sect 1.1 - Functions ------------------------------------------ Sect 1.2 - Linear Functions Sec 1.3 - Rates of change |
Sect 1.1 - 2,6,8,10,14,16,24 ------------------------------------------ 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 ------------------------------------------ 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 ------------------------------------------ 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) ------------------------------------------ Sect 1.8 - New functions from old |
Sect 1.8 - 2,4,6,10,12,14,16,20,26,32 |
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(4) Sept 15, 17 |
Sect 1.9 - Power Functions ------------------------------------------ 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 ------------------------------------------ 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 ------------------------------------------ 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 ------------------------------------------ Sect 2.4 - 12, 19, 22, 23, 26 |
HW 4 -- due Oct 1 |
(6) Sept 29, Oct 1 |
Review ------------------------------------------ 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 ------------------------------------------ Sect 3.2 - Exponentials and logarithms |
3.1 - 2, 6, 10, 14, 16, 20, 24, 32, 36, 40 ------------------------------------------ 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 ------------------------------------------ Sect 3.4 - Product and quotient rule |
3.3 - 4, 10, 14, 18, 22, 26, 30, 32, 40 ------------------------------------------ 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 ------------------------------------------ Sect 4.2 - Inflection points |
4.1. - 2, 4, 6, 8, 10, 12, 16, 24, 26 ------------------------------------------ 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 ------------------------------------------ Applications (Sect. 4.4, 4.5) |
HW 8 -- due Nov 5 | |
(11) Nov 3, 5 |
Review ------------------------------------------ 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) |
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(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 ------------------------------------------ No class on Nov 26 (Thanksgiving) |
HW 11 (due Dec 3) (make-up HW) |
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(15) Dec 1, 3 |
Sect 6.6 - Substitution Rule ------------------------------------------ Final Review |
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Final Exam: Wednesday, Dec 9, 11:15-1 Javits 101 (R01 and R02) and Javits 105 (R03 and R04) |