Certificate Completers will be able to
. Solve and graph linear equations, linear inequalities, systems of linear equations (matrices), systems of linear inequalities, and quadratic equations.
. Graph and apply properties of relations and functions including linear, quadratic, polynomial, rational, exponential, and logarithmic functions.
. Solve problems involving sequences, induction, and probability.
. Evaluate and graph trigonometric functions, inverse trigonometric functions, and conic sections.
. Solve trigonometric equations, apply trig identities, and perform operations with parametric equations.
. Use trigonometry to solve right triangles, oblique triangles, and vector applications.
. Perform operations with complex numbers in rectangular and polar form.
. Evaluate limits and determine continuity of functions.
. Develop techniques of differentiation and apply methods to solve problems.
. Evaluate and analyze the exponential, logarithmic and indeterminate forms of functions.
. Develop understanding of Infinite Series including Maclaurin, Taylor and Fourier series.
Curriculum
Catalog No. Description Credits
10-804-195 College Algebra with Applicati
3
10-804-189 Introductory Statistics
3
10-804-196 Trigonometry with Applications
3
Course Descriptions
10-804-198 Calculus 1 ...analyze and graph algebraic expressions, especially conic sections. Develop an intuitive understanding of limits, derivatives and integrals. Apply the derivative and the integral to certain physical problems. (Prerequisites: Recommendation: Accuplacer (College Level Math) = 103 OR Completion of 10-804-195, College Algebra with Apps AND 10-804-196, Trigonometry with Apps, 10-804-197, College Algebra and Trigonometry with Apps or 10-804-132, Math-Geometry/Analytic with grade "C" or better)
10-804-181 Calculus 2 ...continuation of Calculus I covering integration techniques, indeterminate forms, improper integrals, techniques of integration, applications to the physical sciences, first order linear differential equations, Infinite series including Maclaurin, Taylor, and Fourier. (Prerequisite: 10-804-198, Calculus I)
10-804-195 College Algebra w Apps ...skills needed for success in Calculus and many application areas on a baccalaureate level. Topics include the real and complex number systems, polynomials, exponents, radicals, solving equations and inequalities (linear and nonlinear), relations and functions, systems of equations and inequalities (linear and nonlinear), matrices, graphing, conic sections, sequences and series, combinatories, and the binomial theorem. (Prerequisites: Recommendation: Accuplacer (College Level Math) = 63 OR Completion of 10-804-118, Intermediate Algebra w Apps or 10-804-131, Math-Algebra/Inter with grade "C" or better)
10-804-189 Introductory Statistics ...students taking Introductory Statistics display data with graphs, describe distributions with numbers, perform correlation and regression analyses, and design experiments. They use probability and distributions to make predictions, estimate parameters, and test hypotheses. They draw inferences about relationships including ANOVA. (Prerequisites: Recommendation: TABE A 11.0 GE Math or Accuplacer Arithmetic = 75 AND Accuplacer (College Level Math) = 50 Introductory computer skills to include spreadsheets.)
10-804-196 Trigonometry w Apps ...topics include circular functions, graphing of trigonometry functions, identities, equations, trigonometric functions of angles, inverse functions, solutions of triangles complex numbers, DeMoivre's Theorem, polar coordinates, and vectors. (Prerequisites: Recommendation: Accuplacer (College Level Math) = 63 OR Completion of 10-804-118, Intermediate Algebra w Apps; 10-804-195, College Algebra with Apps or 10-804-131, Math-Algebra/Inter with grade "C" or better OR Concurrent enrollment in 10-804-195, College Algebra with Apps)
For more information, please contact: the General Studies Department,(920) 498-5421 or (800) 422-NWTC, extension 5421, or contact Enrollment Services at (888) 385-NWTC.