MATH 1120 - Survey of Calculus
3 Credits
Provides students with a survey of topics from differential and integral calculus. This course is not intended as a prerequisite for other courses in calculus. Topics include functions and limits; differentiation of algebraic, exponential, and logarithmic functions; basic integration including the substitution method. Applications include graphing functions, optimization problems, related rates, growth and decay models, and area under curves. Applications are drawn from the life and physical sciences, business and economics, and the social sciences.
Pre-Requisites A grade of C or higher in MATH 1118 , or MATH 1127
Major Content Areas
Integration: 15% Differentiation techniques: 20% Exponential and Logarithmic Functions: 15% Limits and continuity of functions: 10% Applications of Derivatives: 20% Applications of Integrals: 10% Growth and Decay Modeless and Elasticity of Demand: 10%
Learning Outcomes
Ability to understand applications of differentiation for optimization problems from the life and physical science, business and economics, and the social sciences. Other applications include growth and decay models, marginal cost analysis, linear approximations and related rates Ability to understand integration for finding areas under curves and solving applications from the life and physical science, business and economics, and the social sciences Ability to understand basic ideas from calculus both symbolically and conceptually. Students will demonstrate proficiency in differentiation and integration skills and an understanding of the geometry behind the computations, and will develop a sense of how calculus can be applied to everyday life Ability to apply differentiation skills to graphing functions. Student will use derivatives to complement their use of the graphing calculator to investigate functions
Minnesota Transfer Curriculum (MNTC) Goals
02 - Critical Thinking 04 - Mathematical/Logical Reasoning
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