Calculus for the Mathematical Sciences

1 Course Unit

Math 1610 is an intensive, proof based introduction to single- variable and multivariable calculus designed for students with strong mathematical ability and interest. The course emphasizes conceptual understanding, rigorous reasoning, and the development of mathematical communication skills. Students explore the foundations of real and complex numbers, limits, continuity, differentiation, and integration, with all major results presented and proved. Building on these foundations, the course extends to vector algebra, vector valued functions, differential calculus of scalar and vector fields, and the theory and applications of line, surface, and multiple integrals. Typical topics include the axiomatic development of the real numbers, a proof based recap of single variable calculus, vector algebra, differential calculus of scalar and vector fields, and integrals over lines and surfaces. Fall or Spring Mutually Exclusive: MATH 1510 Prerequisites: Students must take MATH 1400 or have a placement score of 24+ before taking MATH 1610. 1 Course Unit