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MATH 170

ANALYTIC GEOMETRY AND CALCULUS I

Course Description

This course is the first semester of calculus, designed to meet lower division university and four-year college requirements.  Topics included are differentiation and integration of algebraic, and trigonometric functions with applications.  The necessary topics of analytic geometry are presented as needed to proceed with the principles of calculus.  (Formerly MATH 5.2, MATH 102)

 

Course Content

  • Function and limits

  • Differentiation

  • Application of differentiation

  • Integration

  • Application of definite integral

  • Appl            

Course Objectives

  • Demonstrate an understanding of the limit concept

  • Prove selected theorems on limits

  • Differentiate functions by definition and formulas

  • Demonstrate an understanding of continuity, maximum and minimum

  • Prove selected differentiation theorems

  • Locate critical points, extreme values and points of inflation using derivative tests

  • Analyze, formulate, and solve assigned word problems involving rates of change, maximum/minimum, and related rates

  • Solve problems using implicit differentiation

  • Evaluate integrals from definition & formulas

  • Find areas of regions

  • Prove selected theorems on integration

  • Find indefinite integrals

  • Differentiate and integrate trigonometric functions

 

 

 

Syllabus

Syllabus

Math Links

Math Links

 

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