College Modern Pre-calculus
College Modern Pre-calculus (3162): (1 weighted high school math credit).
This course is an intensive, rigorous approach to mathematics designed to prepare students for college calculus. First semester, students will focus on the algebraic and geometric properties of polynomial, rational, exponential, logarithmic, and trigonometric functions, and engage in discussions about how these models are represented in the real world. Second semester, students will learn the analytic properties of trigonometric functions and geometric conics, as well as learning the properties of polar coordinates, vectors, matrices, parametrics, and sequences and series. The course concludes with an introduction to calculus.
College Calculus
College Calculus (3177): (1 weighted high school math credit).
Calculus Syllabus SY2526 Menke
Calculus Syllabus SY2526 Notestine
This two-semester course offers university-level calculus for scientists and engineers, emphasizing comprehension and practical application. In the first semester, topics include limits and continuity of functions, techniques and applications of differentiation, and an introduction to integration. The second semester covers applications and advanced techniques of integration, introduction to differential equations, sequences and series, and analytical geometry. Upon completion, students will grasp both the geometric and rate of change analyses of differential and integral calculus. They will be able to apply their understanding to model real-world situations mathematically and solve these mathematical models. Prerequisites: Precalculus.
Multivariable Calculus/Linear Algebra
Multivariable Calculus/Linear Algebra (3178): (1 weighted high school math credit).
In multivariable calculus, students extend their study of calculus from the plane to 3-dimensional space and beyond. After an initial examination of the geometry and algebra of 3-space, students will use differential and integral calculus to study the nature of curves and surfaces in 3-space. Topics include linear approximations of curves and surfaces in 3-space, optimization of functions with several variables, and the use of integral calculus to study area, volume, and other applications. The semester concludes with an examination of the calculus of vector fields. In linear algebra, students use matrix theory to solve systems of linear equations and apply knowledge of determinants to describe the nature of those solutions. The algebra and applications of linear transformations will be studied in both real and general vector spaces. Students will calculate eigenvalues and eigenvectors of linear transformations and use them to diagonalize linear systems. Applications include best-fit functions and solutions of 1st-order linear differential equations. Prerequisites: GSST College Calculus or completion of AP Calculus BC with a score of 5 on the exam, or a score of 4 with permission from the instructor.
Differential Equations and Math Methods in Physics
Differential Equations and Math Methods in Physics (02123): (1 weighted high school math credit).
This year-long course introduces the methods, theory, and applications of differential equations. This course introduces first-order, second-order and higher-order linear differential equations, series solutions, linear systems of first-order differential equations, and the associated matrix theory. Prerequisite: Calculus.