MATH140 Calculus I
Department of Science, Technology, Engineering & Mathematics: Mathematics
 I. Course Number and Title
 MATH140 Calculus I
 II. Number of Credits
 4 credits
 III. Minimum Number of Instructional Minutes Per Semester
 3000
 IV. Prerequisites
 Math Placement Test score of 11 or MATH125 (C or better)
 Corequisites
 None
 V. Other Pertinent Information
 At least four hours of testing, quizzes, and a twohour comprehensive departmental final examination are given.
 VI. Catalog Course Description
 This is the first course in the calculus sequence for physical science, business, computer science, mathematics and engineering students. Topics include: limits, the rate of change of a function, derivatives of algebraic and trigonometric functions, applications of derivatives, integration, and applications of the definite integral.
 VII. Required Course Content and Direction


Learning Goals:
 Course Students will:
 explain the concepts of limit and continuity;
 evaluate limits, and derivatives of algebraic and trigonometric function;
 use implicit differentiation to find a derivative and apply concepts of differentiation to problems in curve sketching, related rates, straightline motion, science, business and economics;
 find indefinite integrals;
 solve elementary differential equations; and
 apply the definition of the definite integral and its properties, evaluate definite integrals and use the definite integral for applications involving topics such as average values, areas, volumes of solids of revolution, lengths of plane curves.
 Core (if applicable) Category I:
 accurately translate descriptive problems into mathematical formulas and solve them.
 demonstrate an understanding of solving problems by:
 recognizing the problem
 reviewing information about the problem
 developing plausible solutions
 evaluating the results
Mathematics or Science Students will be able to:Critical Thinking/Problem Solving Students will be able to: 
Planned Sequence of Topics and/or Learning Activities:
The following is a list of the minimum amount of course material to be covered by the instructor. Accompanying each topic is an approximate number of lesions required to study the topic.
 Limits and Continuity (8 lessons)
 Geometric Interpretation of Limits
 Evaluating Limits
 Limit Theorems
 OneSided Limits
 Continuity
 The Derivative (12 lessons)
 Geometric Interpretation  Tangent Line to a Curve
 Definition of Derivative
 Velocity, Acceleration, and Other Rates of Change
 Finding Derivatives, Using the Limit Definition
 Finding Derivatives, Using the Differentiation Formulas
 Product and Quotient Rules
 Derivatives of Basic Trigonometic Functions
 Chain Rule and Composite Functions
 Implicit Differentiation
 HigherOrder Derivatives
 Applications of the Derivative (12 lessons)
 Straight Line Motion
 Related Rates
 Increasing and Decreasing Functions
 Relative and Absolute Extrema
 Concavity and Inflection Points
 Second Derivative Test
 Optimization Problems
 Linear Approximation and Differentials
 Mean Value Theorem
 Antiderivatives
 Integration (9 lessons)
 Indefinite Integrals
 Differential Equations
 Summation Notation
 Finding Areas and the Definition of Definite Integral
 Fundamental Theorem of Calculus
 Properties of the Definite Integral
 Using Substitution to Evaluate Integrals
 Applications of Integration (7 lessons)
 Area Under a Curve
 Average Value of a Function
 Area Between Curves
 Volumes of Revolution  Disk and Shell Method
 Length of a Plane Curve

Assessment Methods for Core Learning Goals:
 Course The student applies mathematical concepts and principles to identify and solve problems presented through informal assessment, such as oral communication among students and between teacher and students. Formal assessment consists of openended questions reflecting theoretical and applied situations.
 Core (if applicable) CORE Category I: Math and Science: The students apply mathematical and scientific concepts and principles to identify and solve problems presented through informal assessment such as oral communication among students and between teacher and students. Formal assessment for the core consists of openended questions reflecting theoretical and applied situations.
CORE Category III: Critical Thinking: The students apply critical thinking skills to identify and solve problems presented through informal assessment such as oral communication among students and between teacher and students. Formal assessment for the core consists of openended questions reflecting theoretical and applied situations. 
Reference, Resource, or Learning Materials to be used by Students:
A graphing calculator and a departmentally selected textbook are used. Details are provided by the instructor of each course section. See course format.

 VIII. Teaching Methods Employed
 Section VIII is not being used in new and revised syllabi as of 12/10/08.
Review/Approval Date  3/06; Core Goals/Objectives added 12/04; Revised 09/2013