Calculus1

NOTE: Look for answers to some HW on Cramster.com, Chegg, calcchat.com or some other similar website Amazing interactive graphics is provided on https://www.desmos.com/calculator/onfy0dzx2o

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1.1: 1 3 7 9 -- optional problems 1.2: __3__ 5 __11 17 19__ 23 __25 29__ 1.3: 11 __15__ 25 35 __39__ __75 77 79 105__ 1.4: 3 __5 11 13__ 23 __27__ __39 43__ 65 87 1.5: __3__ __7__ 11 __17 23__ __33__ __45__ 49 __55__ 65 2.1: 3 __7 13__ 21 __23__ __31__ 33 __39-42__ 73 __89__ __91__ 2.2: __9 17__ 19 __27 31 35 45 57__ 59 67 __85 97__ 2.3: __5 9__ 11 __15__ 23 __27 29__ 47 71 __75__ 85 103 2.4: __11 19 27 33__ 49 57 67 __75__ 89 __95__ 111 129 2.5: 1 __9 13__ __17 25__ 31 __33__ 37 41 __47__ 2.6: __11 13 17 21 29__ 35 37 3.1: 1 5 __21 25 29__ 33 __39 45__ 3.2: 3 __5 13 15__ 27 __29 37 41 43__ 53 54 (optional) 3.3: 5 __11 15 21__ 29 __33 39__ 43 61 __91__ 3.4: __9__ __15 19 23__ 35 __41 49__ 77 79 __85__ 3.5: __9 13 17__ 19 __27 35 41__ 45 __69 75__ 88 3.6: 11 __15 19 23 27__ 37 41 49 __61__ 3.7: 3 __9__ 13 __21 23 29 33__ 45 __59__ 3.9: 5 __9 19 27__ 29 __33 37__ 41 __43__ 4.1: __7 11 21__ 23 __27 35 59 63__ 73 __77__ 81 83 4.2: 29 31 59 63 73 4.3: 7 __15 17 29 39__ 41 __47__ 4.4: __11 15__ 19 __25 41 47__ __55__ 61 __88__ 91 93 __99__ 4.5: 13 __29 33 37__ 51 53 __69 71 73 81__ 83 85 7.1: 9 13 21 25 31 34 37 47 97 7.2: 13 17 21 31 59 71 7.3: 9 11 17 23 27 31 45 7.4: 9 15 17 21 65 7.5: 7 11 13 14 21 27 41 7.6: 11 17 21 27
 * Calculus I Homework from Larson and Edwards 9th edition**

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


 * DEPARTMENT: ** Mathematics
 * COURSE TITLE: ** Calculus I
 * COURSE NUMBER: ** MAT121
 * PREREQUISITES: ** MAT120 or examination
 * CREDIT HOURS: ** 4
 * DEVELOPER: ** Dr. Kaganovskiy
 * LAST UPDATE: ** 9/8/2011


 * __ COURSE DESCRIPTION __**

Continuity and limits. Differentiation and integration. Applications to geometry, physics and other areas.


 * __ COURSE/DEPARTMENTAL OBJECTIVES __**

The student will:
 * Learn about the concept of limits.
 * Learn about differentiation.
 * Learn how to integrate functions.
 * Learn applications of differentiation and integration in geometry, physics and business.


 * __ COURSE/INSTITUTIONAL OBJECTIVES __**

This course is intended to teach students the basic 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 __**

1. FUNCTIONS AND LIMITS. (review functions)

The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. The Precise Definition of a Limit. Continuity. 2. DERIVATIVES.

Derivatives and Rates of Change. The Derivative as a Function. Differentiation Formulas. Derivatives of Trigonometric Functions. The Chain Rule. Implicit Differentiation. Rates of Change in the Natural and Social Sciences. Related Rates. Linear Approximations and Differentials 3. APPLICATIONS OF DIFFERENTIATION.

Maximum and Minimum Values. The Mean Value Theorem. How Derivatives Affect the Shape of a Graph. Limits at Infinity; Horizontal Asymptotes. Summary of Curve Sketching. Graphing with Calculus and Calculators. Optimization Problems. 4. INTEGRALS.

Areas and Distances. The Definite Integral. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Indefinite Integrals and the Net Change Theorem. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule.

5. APPLICATIONS OF INTEGRATION.

Areas Between Curves. Applied Project: The Gini Index. Volumes. Volumes by Cylindrical Shells. Work. Average Value of a Function.


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


 * T ** I-83 graphing calculator. (Maple/Maxima software – optional)


 * __ 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.

www.CengageBrain.com (discount site)
 * __ COURSE TEXT __**

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


 * __ Note that until you get your book, the 1st chapter is available on my website __**


 * __ BIBLIOGRAPHY __**

=Calculus 7th Edition =

**Stewart **
==**ISBN10 ****: 0-538-49781-5, ** **ISBN13 ****: 978-0-538-49781-7 **==