MATHEMATICS
MTH 141—4 credits
Calculus I
Session A-6wk (May 19-June 27)
MTWR 9 a.m.–11:15 a.m.; Hylan 101
CRN 16407; Staff
Session B-6wk (June 30-August 8)
MTWR 5:45 p.m.–8 p.m.; Hylan 101
CRN 16415; Staff
This course will cover analysis of the elementary real functions: algebraic, trigonometric, exponentials and their inverses and composites, as well as, their graphs, derivatives, and integrals. Mean value theorem, maxima and minima, curve plotting will also be discussed. This course will also include the fundamental theorem of calculus, with geometric and physical applications. MTH 141, 142 and 143 is a three-semester sequence that covers, at a slower pace, exactly the same material as the two-semester sequence MTH 161 and 162.
MTH 142—4 credits
Calculus II
Session A-6wk (May 19–June 27)
MTWR 5:45 p.m.–8 p.m.; Hylan 101
CRN 16421; Staff
Session B-6wk (June 30-August 8)
MTWR 9 a.m.–11:15 a.m.; Hylan 101
CRN 16439; Staff
This course will consist of applications of the finite integrals, techniques of integration, calculus of the transcendental functions, improper integrals and the use of l'Hopital's rule. Prerequisite: MTH 141.
MTH 143—4 credits
Calculus III
Session A-6wk (May 19–June 27)
MTWR 9 a.m.–11:15 a.m.; Hylan 105
CRN 16442; Staff
The required textbook is a standard calculus text. This is the third semester of a three-semester calculus sequence. Topics include improper integrals, l'Hopital's rules, infinite sequences and series, Taylor's series, three-dimensional geometry and vector algebra, curves in space, and partial derivatives. Weekly lists of exercises form the syllabus for the weekly quizzes. Prerequisites: MTH 141 and MTH 142.
MTH 164—4 credits
Multidimensional Calculus
Session A-6wk (May 19–June 27)
MTWR 9 a.m.–11:15 a.m.; Hylan 102
CRN 16450; Staff
Session B-6wk (June 30–August 8)
MTWR 5:45 p.m.–8 p.m.; Hylan 102
CRN 16468; Staff
This course studies calculus in more than one dimension. Topics include partial derivatives, multiple integrals, and the major theorems of Green, Gauss, and Stokes. NOTE: Either MTH 164 or MTH 163 can be taken after MTH 162 or MTH 143. The usual procedure would be to take MTH 164 followed by MTH 163. USUALLY MTH 164 (Multidimensional Calculus) is taken first since its subject matter is more closely related to MTH 162. However, some Engineering majors require MTH 163 (Differential Equations) to be completed by the end of the fall semester of the sophomore year. Prerequisites: MTH 143, MTH 162, or MTH 172.
MTH 165—4 credits
Linear Algebra with Differential Equations
Session A-6wk (May 19–June 27)
MTWR 5:45 p.m.–8 p.m.; Hylan 102
CRN 16473; Staff
Session B-6wk (June 30–August 8)
MTWR 9 a.m.-11:15 a.m.; Hylan 102
CRN 16484; Staff
This course provides an introduction to the basic concepts of linear algebra: matrices, determinants, vector spaces and linear transformations, as well as to ordinary differential equations with an emphasis on linear differential equations, second order equations with constant coefficients, and systems of differential equations. It has applications to physical, engineering, and life sciences. This course differs from MTH 163 in that it has more material on linear algebra (including a discussion of eigenvalues), and the only differential equations covered are linear ones with constant coefficients, along with systems thereof. For many students, taking MTH 165 will eliminate the need to take MTH 235 (linear algebra). Topics covered: Elementary methods, linear equations, and systems with constant coefficients, solutions in series, special functions, phase plane analysis and stability, Laplace transform, extremal problems. Prerequisites: MTH 143, 162, or MTH 172Q. However, MTH 164 is not a prerequisite for MTH 165.
MTH 235—4 credits
Linear Algebra
Session B-6wk (June 30–August 8)
MTWR 5:45–8 p.m.; Hylan 201
CRN 16496; Staff
In this course we develop matrix methods for determining the solvability of, and finding solutions to, systems of linear equations in several variables. We study linear transformations on finite-dimensional vector spaces over R (real numbers) and C (complex numbers), which includes a development of the concepts of an inner product, orthogonality, a basis of a vector space, and eigenspaces of linear transformations. Prerequisites: MTH 165.