MATH 169: Calculus I with Integrated Precalculus II
Prerequisites: One of the following: A grade of C or better in MATH 168 or permission of the Department of Mathematics and Statistics. Students with credit for MATH 126 Business Calculus or another college level calculus course are encouraged to contact the Department of Mathematics and Statistics for permission.
Credit hours: (3)
The sequence MATH 168: 169 covers the topics covered in MATH 171 but also includes topics from algebra and trigonometry that MATH 171 assumes as prerequisite. MATH 169 covers indefinite and definite integrals, the area of under a curve, and the Fundamental Theorem of Calculus. The course also covers limits, differentiation, and integration of exponential, logarithmic, and trigonometric functions, and l'Hopital's Rule. This course has been approved for credit in the Mathematical Sciences Area of the CORE Curriculum. Students may not receive credit for both MATH 169 and either MATH 171 or MATH 151.
Detailed Description of Course
The following topics will be covered for algebraic functions:
1) Antidifferentiation and the indefinite integral
2) Sigma notation, Riemann sums, area under a curve, and the definite integral
3) The fundamental Theorem of Calculus
4) Antidifferentiation with substitution
5) Average value of a function
6) Definitions and calculus of
a. Exponential and logarithmic functions
b. Trigonometric functions
c. Inverse trigonometric functions
7) L'Hopital's Rule
Detailed Description of Conduct of Course
Instructors will use a combination of lectures, group work and computer laboratory sessions. Some may require students to present homework problems to the rest of the class on a regular basis. Software packages and graphing utilities will be used on solving problems and as illustrative aids.
Student Goals and Objectives of the Course
Students are expected to learn the basic principles of Calculus and Analytic Geometry and to demonstrate the use of these principles in problem solving. In addition to paper and pencil problem solving, students will use appropriate graphing calculator and computer algebra system technology.
Students will be able to :
1) Interpret relationships among numeric, symbolic and graphical information as applied to the real world
2) Solve problems using numeric, symbolic and graphical information.
Graded tasks may include tests, quizzes, homework exercises, papers, class participation and attendance. Students will be required to demonstrate literacy in the use of mathematical software packages and/or graphing calculators as effective tools in problem solving.
Other Course Information
This course is primarily intended for freshman and sophomore students, especially those majoring in mathematics, computer science, the natural sciences, psychology, or economics. Students may not receive credit for both MATH 169 and either MATH 171 or MATH 151.
Review and Approval
November 2, 2017