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Course Syllabus

MATH 1210 Calculus I

  • Division: Natural Science and Math
  • Department: Mathematics
  • Credit/Time Requirement: Credit: 5; Lecture: 5; Lab: 0
  • Prerequisites: MATH 1050 and MATH 1060 or MATH 1080 with a C or better, ACT math score of 26 or higher, or appropriate placement test score. Prerequisite score or class must have been completed within the last two years or student must (re-)take placement test.
  • Semesters Offered: Fall, Spring
  • Semester Approved: Summer 2024
  • Five-Year Review Semester: Spring 2029
  • End Semester: Spring 2030
  • Optimum Class Size: 20
  • Maximum Class Size: 36

Course Description

This course is an introduction to calculus: functions and their limits, especially as applied to derivatives and integrals. Topics include continuity of functions, techniques and applications of differentiation (related rates, graphing, and optimization), and elementary techniques and applications of integration. These topics are applied to algebraic, trigonometric, exponential, and logarithmic functions.

Justification

Calculus is a required topic in a wide variety of major programs; e.g., engineering, pre-med, mathematics, physics, chemistry, etc. This course is similar to introductory calculus courses taught across the state.

Student Learning Outcomes

  1. Students will demonstrate understanding of, and solve problems involving limits, including delta-epsilon arguments.
  2. Students will demonstrate understanding of the meaning of the derivative and be able to solve problems using the derivative.
  3. Students will demonstrate understanding of the significance of the (definite) integral and solve problems using the (definite) integral.
  4. Students will demonstrate understanding of and correctly apply major theorems, including the Intermediate Value Theorem, Extreme Value Theorem, Mean Value Theorem, and Fundamental Theorem of Calculus.
  5. Students will use calculus techniques to solve problems in science and business, including related rates and optimization.
  6. Students will demonstrate familiarity with a computational software package such as Maple, Matlab, Maxima, Python, SageMath, Mathematica, etc.

Course Content

The course will cover the following:
--Brief review of algebra and trigonometry
--Functions and limits, including delta epsilon arguments
--The meaning of the derivative and differentiation techniques
--Applications of the derivative including related rates, optimization, and L'Hopital's rule.
--The meaning of the (definite) integral and elementary integration techniques
--Applications of integration including volumes of 3D shapes

The course will incorporate additional viewpoints by presenting applications of the course material to a variety of professional fields.