Course Syllabus
Course: MATH 1100
Division: Natural Science and Math
Department: Mathematics
Title: Applied Calculus
Semester Approved: Fall 2022
Five-Year Review Semester: Summer 2027
End Semester: Summer 2028
Catalog Description: Applied Calculus introduces the techniques of elementary calculus for functions of one variable, including differentiation and integration. Applications are emphasized in the areas of biological, management and social sciences. Techniques of calculus of several variables, including partial differentiation and multiple integrals, are introduced.
Semesters Offered: Fall
Credit/Time Requirement: Credit: 4; Lecture: 4; Lab: 0
Prerequisites: MATH 1050 or MATH 1080 with a grade of at least a C, ACT math score of 25 or higher, or equivalent placement test score. Prerequisite score or class must have been completed within the last two years or student must (re-)take placement test.
Justification: This course is part of the core at all institutions in the state. It is a required course for the following majors: business management, natural resources, and forestry. This course is equivalent to Math 1100 taught at almost all other institutions in the state.
Student Learning Outcomes:
Demonstrate an ability to use differentiation in applied problems. Students learn to use this powerful tool in multiple applications in both single variable and multiple variable calculus. Students will be assessed using homework, quizzes, projects and/or exams.
Demonstrate an ability to use integration in applied problems.
Students learn to use this powerful tool in multiple applications in both single variable and multiple variable calculus. Students will be assessed using homework, quizzes, projects and/or exams.
Be able to use graphs, equations, tables and words to complete, translate and demonstrate ability to solve applied calculus problems.
Students are often presented problems in any of the following ways: tables, graphs, equations and words. Students will be able to start from any one of these places and translate to any of the other three to show their understanding and solutions to applied calculus problems. Students will be assessed using homework, quizzes, projects and/or exams.
Content:
This course will include:
•functions and change
•rate of change and derivatives
•applications of the derivative
•accumulated change: the definite integral
•antiderivatives and probability of applications
•functions of several variables.
Every topic will be presented geometrically, numerically, algebraically, and verbally to meet the needs of diverse learners. Whenever possible, concepts will be taught by starting with a practical problem and deriving the general results from it. Graphing calculators will be used to help students learn to think mathematically. Course work is presented and assessed using various methods including group work, presentations, projects, activities, lectures and class discussions to ensure that students with diverse learning styles and preferences can demonstrate mastery.
Key Performance Indicators:
Students will be assessed using the following:
Homework 5 to 25%
Projects 0 to 20%
Group work 0 to 15%
Quizzes 0 to 20%
Exams 20 to 70%
Final Exam 15 to 35%
Representative Text and/or Supplies:
Armstrong, Bill, Davis, Don. Brief Calculus, Current edition, Jones and Bartlett Learning, Burlington, MA.
Graphing calculator required (TI-83/84 preferred).
Pedagogy Statement:
The AAC&Us high impact practices are proving to be of value to students of all backgrounds; be that learning preferences, ethnicity, gender or socioeconomic levels.
Based on that knowledge teachers of this course regularly use many teaching/learning methods such as group work, discussion, lecture, online sources for both learning and homework, group and individual presentations, manipulatives, traditional paper and pencil homework that allows students to demonstrate their learning.
Instructional Mediums:
Lecture
Maximum Class Size: 36
Optimum Class Size: 25
