Course Relevance for MAC2311
Course Description: This course is for students who need calculus for engineering, math, and science programs. Major topics include limits, differentiation of algebraic, exponential, logarithmic, and trigonometric functions; and applications of derivatives. The definite integral is developed, and its applications are investigated.
Learning Outcomes: The student will demonstrate scientific or mathematical reasoning in problem-solving
Career Relevance to Biology, Chemistry & Physics
Career Relevance to Computer Science & Computer Programming
Career Relevance to Engineering & Mathematics
Course Description: This course is for students who need calculus for engineering, math, and science programs. Major topics include limits, differentiation of algebraic, exponential, logarithmic, and trigonometric functions; and applications of derivatives. The definite integral is developed, and its applications are investigated.
Learning Outcomes: The student will demonstrate scientific or mathematical reasoning in problem-solving
Career Relevance to Biology, Chemistry & Physics
- Differentiation of algebraic
- Logarithmic
- Exponential
- Trigonometric functions
- Applications of derivatives
- Transformation of coordinates
- Distance between two points, point and line, point and surface
- Find surface area
- Integral of a function over a surface
- Find volume
- Integral of a function in a volume
Career Relevance to Computer Science & Computer Programming
- Take a derivative of any function
- Integrate functions of one variable (may use tables)
- Find maxima and minima of a function
- Partial derivatives
- Find mean value of any function (moments, centroid)
- Find the derivative of integral whose limits are functions of the variable
- Trigonometric identities
- Law of cosines, solution of right triangle
- Coordinate Systems: rectangular, cylindrical, spherical (and also their two-dimensional counterparts)
- Equation of a straight line: point-slope, slope-intercept, etc.
- Equations for conic sections
- Transformation of coordinates
- Distance between two points, point and line, point and surface
- Find surface area
- Integral of a function over a surface
- Find volume
- Integral of a function in a volume
Career Relevance to Engineering & Mathematics
- Take a derivative of any function
- Integrate functions of one variable (may use tables)
- Find maxima and minima of a function
- Partial derivatives
- Find mean value of any function (moments, centroid)
- Find the derivative of integral whose limits are functions of the variable
- Trigonometric identities
- Law of cosines, solution of right triangle
- Coordinate Systems: rectangular, cylindrical, spherical (and also their two-dimensional counterparts)
- Equation of a straight line: point-slope, slope-intercept, etc.
- Equations for conic sections
- Transformation of coordinates
- Distance between two points, point and line, point and surface
- Find surface area
- Integral of a function over a surface
- Find volume
- Integral of a function in a volume