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MATH 2301—Calculus I

Four Semester Hours

QV 10/13


University Requisite: (A or better in 163A) or (B or better in MATH 1350) or (C or better in 1300 or 1322) or (Math placement level 3)

Course Overview

First course in calculus and analytic geometry with applications in the sciences and engineering. Includes basic techniques of differentiation and integration with applications including rates of change, optimization problems, and curve sketching; includes exponential, logarithmic and trigonometric functions. No credit for both MATH 2301 and 1350.

Methods of Course Instruction

All material for this course is print-based. Instructor and students communicate and exchange materials through postal mail. 

E-Print Option

In this course, an option exists to use e-mail to submit your lesson assignments. Your assignment will be returned to you either as an e-mail attachment or as a hard copy sent through the postal mail, depending on the preferences of the instructor and/or program. 

Textbooks and Supplies

Stewart, James. Essential Calculus, Early Transcendentals. Brooks/Cole, 2007. [ISBN: 9781133112280]

Using hand-held calculators is optional and not necessary to do the writing assignments, but you may use them to do calculations and to check your work. Calculators are not required and may not be used on examinations.

Number of Lessons

The course has 12 lessons, including one midcourse examination and a final examination.  The topics include

  • Lesson 1: Limits, Continuity, and Limits Involving Infinity 
  • Lesson 2: Derivatives: Definition, Rates of Exchange, Tangent Lines, and Derivatives of Basic Function 
  • Lesson 3: The Product, Quotient, and Chain Rules 
  • Lesson 4: Implicit Differentiations and Related Rates; Linear Approximations and Differentials 
  • Lesson 5: Inverse Functions, Exponential and Logarithmic Functions, and Their Derivatives 
  • Lesson 6: Midcourse Examination Information 
  • Lesson 7: Inverse Trigonometric Functions and Their Differentiations: L’Hôspital’s Rule  
  • Lesson 8: Maximum and Minimum Values and the Mean Value Theorem  
  • Lesson 9: Curve Sketching, Optimization Problems, Newton’s Method  
  • Lesson 10: Anti-Derivatives, Indefinite Integrals, Areas, Distances, and Definite Integrals 
  • Lesson 11: The Fundamental Theorem of Calculus: The Substitution Method  
  • Lesson 12: Final Examination Information

Types of Writing Assignments

Each lesson contains one or more reading assignments and a writing assignment, which you are to submit for my evaluation. Each writing assignment will ask you to solve 20 problems from the textbook. These problems should be worked in detail (showing all your work), so that I can follow your line of reasoning in the solution of the problem and can comment on your solution. This will help you understand what you have done right and wrong, and will help you on future assignments.

Grading Criteria

Your final grade will be determined by your grades on the submitted writing assignments and the two examinations, as follows: 

  • Submitted Assignments = 30% 
  • Midcourse Examination = 30% 
  • Final Examination = 40% 
  • Total = 100%