Recommended for Elementary Education majors as a preliminary to Math 113. An introduction to basic mathematical ideas including counting and measuring, calculation, symbol manipulation, and logic. Topics are matched to the elementary school curriculum. The emphasis is on developing understanding, intuition, and imagination rather than rigidly following prescribed methods.
This course integrates study of theory, curriculum and pedagogy for teaching arithmetic in grades K-8. Topics include instructional methods in mathematical procedure and processes, technology in teaching and learning, lesson planning, teaching through problem-solving, formative and summative math assessments, local, state and national standards, and effective teacher discourse in the math classroom. This course is based on the recommendations of NCTM; namely that all children learn best by actively exploring and investigating math, that problem-solving, reasoning and communication are important goals of mathematics teaching and learning, and that all children have highly qualified teachers.
MATH 140; Admitted to Teacher Education Program
For students with one or two years of high school algebra. This course is at the level of college algebra, but is not focused on algebra. It stresses application of mathematics in careers of non-scientists and in the everyday lives of educated citizens, covering basic mathematics, logic, and problem solving in the context of real-world applications.
Algebra review, functions and graphs, logarithmic and exponential functions, analytic geometry, trigonometric functions, trigonometric identities and equations, mathematical induction, complex numbers. Students completing this course are prepared to enter calculus.
Limits and continuity for functions of one real variable. Derivatives and integrals of algebraic, trigonometric, exponential, and logarithmic functions. Applications of the derivative. Introduction to related numerical methods.
Techniques of integration, numerical integration, and applications of integrals. Infinite series including Taylor series. Introduction to differential equations. Calculus in polar coordinates.
The calculus of vector-valued functions, functions of several variables, and vector fields. Includes vector operations, equations of curves and surfaces in space, partial derivatives, multiple integrals, line integrals, surface integrals, and applications.