# Fall 2017 Math 131 Syllabus Mathematical Concepts Calculus

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1 Fall 2017 Math 131 Syllabus Mathematical Concepts Calculus Name Ata Firat Pir Office Blocker 640A Phone Number Math Department: Office Hours Wed., and Th. 2:00-4:00pm *Note: No office hours on exam days. Course Web Page Help Sessions Week in Reviews INSTRUCTOR INFORMATION CLASS TIME : MWF 11:30am-12:20pm HELD 105 CATALOG DESCRIPTION Mathematical Concepts Calculus. Limits and continuity; rates of change, slope; differentiation: the derivative, maxima and minima; integration: the definite and indefinite integral techniques; curve fitting. No credit will be given for more than one of MATH 131, MATH 142, MATH 147, MATH 151 and MATH 171. Prerequisites: High school algebra I and II and geometry. LEARNING OUTCOMES This course is focused on quantitative literacy in mathematics found in the natural and social sciences and everyday life. Upon successful completion of this course, students will be able to: Logically formulate mathematical variables and equations to quantitatively create mathematical models representing problems in everyday life. Recognize and construct graphs of basic functions, including polynomials, exponentials, logarithms, and trigonometric functions and use them to model real-life situations. Identify patterns in numeric data to calculate limits and derivatives of functions numerically. Compute limits of functions numerically, graphically, and algebraically. Justify whether a function is continuous or not using the mathematical definition of continuity. Compute derivatives using the limit definition of the derivative. Understand the derivative as a rate of change in order to quantitatively apply it to everyday life. For example, recognize that derivatives can be used to find the velocity and acceleration of an object given its position function. Compute derivatives of polynomials, rational, trigonometric, exponential, and logarithmic Apply the product rule, quotient rule, and chain rule to take derivatives of compositions of Compute the linear approximation of a function and use it in applications of approximation and error estimation. Investigate the relationship between a function and its first and second derivatives, and use the information obtained from its derivatives to identify pertinent information about the function. Find the local and absolute extrema of functions, including optimization applications such as minimizing the cost of fencing in a particular area of land. Compute antiderivatives and understand the concept of integration as it relates to area. Apply the definite integral to quantitatively determine solutions to problems in everyday life including areas between curves, average value of a function, and total distance traveled. Recognize and appreciate the derivative (rate of change) and the definite integral (accumulation of change) and utilize the Fundamental Theorem of Calculus as the bridge between the two. Apply the substitution method to compute integrals.

### Prerequisites: A grade of C or higher in MATH 153 (Precalculus Mathematics) or equivalent.

Code: MATH 171 Title: CALCULUS I Division: MATHEMATICS Department: MATHEMATICS Course Description: This is a first semester scientific calculus course and the topics include limits, continuity, derivatives

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