MATH2311

Meets Mn Transfer Curriculum Goal Area 4 - Mathematical/Logical Reasoning. This course is designed for students who have sound algebra skills. The primary goal of this course is to help individuals acquire a solid foundation in the basic skills of calculus, showing how calculus can be used to model and solve authentic real-world problems. Calculus is the first mathematics course in an engineering or other STEM related curricular sequence. Course topics include differentiation and integration of polynomial, exponential, logarithmic and trigonometric functions. Student Learning Outcomes

• Explain the concept of limit from a graphical, numerical, and algebraic point of view. Be able to illustrate and calculate limits of a variety of algebraic and transcendental functions, and limits involving infinity.
• Describe what it means for a function to be continuous. Identify various types of discontinuities.
• Compute a derivative using the definition.
• Find derivatives using differentiation rules and implicit differentiation.
• Recognize the derivative as a rate of change and a slope. Use derivatives to solve application problems such as optimization and related rates.
• Use the first and/or second derivative tests and limits to analyze important features of the graph of a function.
• Recognize limits in indeterminate forms (quotient, product, difference, power) and apply L'Hopital's Rule appropriately to evaluate them.
• Define the definite integral as a limit of Riemann sums.
• Describe the relationship between derivative and definite integral as expressed in both parts of the Fundamental Theorem of Calculus, and apply it to evaluate definite integrals using antiderivatives.
• Demonstrate and apply critical thinking skills to solve a variety of problems.
• Communicate mathematical understanding.