AdvancedCalculus1

NOTE: Look for answers to some HW on Chegg, Cramster.com, calcchat.com or some other similar website







Advanced Calculus 1: Larson and Edwards 9th edition, HW

9.1: 9 13 27 37 39 45 49 55 57 63 81 87 93 101 105 9.2: 15 27 39 43 45 49 57 65 71 83 85 89 103 113 115  9.3: 5 11 15 17 21 27 29 35 39 41 57 59 61 63 65  9.4: 5 7 11 19 23 27 39 41 9.5: 15 17 21 25 35 39 41 47 55 57 59 63 67 69 79 97 9.6: 21 23 25 29 31 33 41 43 49 57-68 ( only odd, just state test and convergence) 77 81 9.7: 15 19 21 25 27 29 31 37 43 45 47 49 55 57 9.8: 13 15 17 21 23 25 29 33 43 47 63 65 73 9.9: 9 13 15 19 21 25 35 39 41 53 9.10: 9 17 21 27 29 35 37 39 43 47 59 63 65 67

11.1: 17 29 39 41 49 55 67 73 81 91 93 11.2: 5 13 27 29 35 37 41 47 55 57 61 65 69 73 85  11.3: 5 9 17 21 25 27 33 41 45 49 59 73 81  11.4: 13 31 33 37 43 45  11.5: 9 13 17 25 31 49 51 55 63 69 75 87 99 101 105 // 11.6: 9 15 19 21 23 25 29 31 32 45 47 49 51 // 11.7: 3 5 9 15 23 27 31 37 43 47 53 61 69 101 107 113

13.1: 3 13 21 25 29 37 41 43 49 51 53 67 79 13.3: 11 29 33 35 39 49 51 53 75 79 81 87 95 99 103 105 ( // optional 117, 124 // ) 13.4: 15 17 19 25 27 31 // ( optional 45) // 13.5: 3 9 11 13 17 21 25 27 33 39 45 53 55 59 61 13.6: 5 7 13 19 23 33 37 45 49 65 69  13.7: 1 3 33 35 37 39 41 43 47 49 53 57 59 75  13.8: 11 13 19 23 25 29 31 33 37 39 41 45  13.9: 9 13 15 17  13.10: 7 9 11 13 15 17 23 45 47 48 51


 * Exam 1 Preparation: **

9.1: 37 39 49 55 57 9.2: 29 39 71 113 115  9.3: 15 57 58 59 61 63 65  9.4: 19 23 27 39 41  9.5: 15 21 39 43 47 55 57 59  9.6: 23 25 33 41 57-68 ( only odd, just state test and convergence) 9.7: 29 43 45 49 55 57 9.8: 17 21 25 29 33 47  9.9: 9 13 19 21 35 41  9.10: 17 21 35 39 59 63 67

Slides to Focus On for Midterm:
 * 9.2: 1-12 (general understanding), 13, 20 (general understanding)
 * 9.3: 6, 7, 8, 12, 13
 * 9.4: 13, 14, 15
 * 9.5: 8, 9, 12, 13, 18, 19
 * 9.6: 6, 7, 8, 9, 10, 18, 19, 21 (useful summary)
 * 9.7: 6, 7, 12, 14, 16, 17, 22, 24
 * 9.8: 8, 9, 14, 15, 16, 17, 20-23 (one problem)
 * 9.9: 5, 6, 7, 11, 12, 15
 * 9.10: 14, 15, 20, 21 (not the most cleaned up version), 24, 25, 26


 * Exam 2 preparation: **

11.1: 41 67 73 91 11.2: 47 55 57 69 73 85  11.3: 17 21 25 45 49  11.4: 13 31 33 43 45  11.5: 17 31 49 51 63 71  11.6 // : // 9 31 32  11.7: 15 27 43 47 53 101 113

13.1: 25 29 37 49 51 53 13.3: 49 51 53 75 79 81 103 105  13.4: 15 17 19 25 27 31  13.5: 9 11 13 17 25 27 53  13.6: 19 37 45 65 69  13.7: 33 35 37 53 59 75

** TOURO COLLEGE COURSE SYLLABUS ** ** LANDER COLLEGE **


 * DEPARTMENT: ** Mathematics
 * COURSE TITLE: ** Advanced Calculus I
 * COURSE NUMBER: ** MAT201
 * PREREQUISITES: ** MAT122
 * CREDIT HOURS: ** 3
 * DEVELOPER: ** Dr. Kaganovskiy
 * LAST UPDATE: 08/17/2012 **


 * __ COURSE DESCRIPTION __**

Continuation of MAT121-122. Functions of several variables, vector analysis, partial differentiation, infinite sequences and series, Taylor series. Differentiation and integration of algebraic functions. Applications to geometry, physics and other areas..


 * __ COURSE/DEPARTMENTAL OBJECTIVES __**

The student will:

· Learn about infinite series and sequences, including Taylor series. · Learn the basics of vector analysis. · Learn about functions of several variables. · Learn about partial derivatives, including directional derivatives and gradients. · Learn applications of the above in geometry, physics and business.


 * __ COURSE/INSTITUTIONAL OBJECTIVES __**

This course is intended to teach students the concepts of calculus. This should further professional and pre-professional career interests for students in the fields of science and business. Goals include the fostering of analytical and quantitative thinking, and the ability to solve problems and interpret data.


 * __ COURSE CONTENT __**

Complex Numbers Polar notation DeMoivre's Law Infinite Series Comparison test Limit comparison test Ratio test Integral test Alternating series and conditional convergence Taylor's Series Differentiation and integration of series Vectors in two and three dimensions Solid analytic geometry Partial derivatives Directional derivatives Maxima and minima Constrained maxima and minima


 * __ HARDWARE/SOFTWARE/MATERIALS REQUIREMENTS: __**


 * T ** I-83 graphing calculator.


 * __ COURSE REQUIREMENTS __**

Homework Assignments Two classroom examinations. Final Examination


 * __ GRADING GUIDELINES __**

Students must take all exams. Grades are to be based on the weighted average of the grades in the examinations.

**__ METHODOLOGY __** Classroom lectures and assigned homework problems.


 * __ COURSE TEXT __ **

Calculus 9th edition Authors: Larson and Edwards Brooks/Cole ISBN 978-0-547-16702-2


 * __ BIBLIOGRAPHY __ **

Larson, Edwards "Calculus" 9th edition.