UManitoba Moodle Math

(Lab required) Curves and surfaces in the plane and space. Intrinsic geometry of curves and surfaces: Serret Frenet frames, first and second fundamental forms, curvature and the Gauss map. Geodesics and parallel transport. Theorema Egregium and Gauss-Bonnet theorems. Prerequisites: [one of MATH 1232, MATH 1690, MATH 1700 (B), MATH 1701 (B), or MATH 1710 (B)] and [one of MATH 1220, MATH 1210 (B), MATH 1211 (B), MATH 1300 (C+), or MATH 1301 (C+)]; or consent of instructor. Pre- or corequisite: one of MATH 2150, MATH 2151, MATH 2720, or MATH 2721.

(Lab required) The course is intended for students in mathematically rich disciplines. Parametric curves, arc length and curvature. Functions of several variables. Level curves. Partial derivatives, gradient, divergence and curl. Max/min problems. Double and triple integrals, line and surface integrals of functions and vector fields, and applications. Green's, Stokes, and divergence theorems. May not be held with MATH 2130, MATH 2151, MATH 2720, MATH 2721, or the former MATH 2750. Prerequisite: MATH 2080 or MATH 2081 or the former MATH 2202.

MATH 4320/7320 - Dynamical Systems
Techniques for the qualitative analysis of nonlinear systems of ordinary differential equations and discrete-time systems. May not be held with MATH 4320 and the former MATH 4800. Prerequisite: Permission of department.
3.0 Credit hours

Reading course on topics in geometry.

MATH 1230 - Differential Calculus (Lab required) The course is intended for students in mathematically rich disciplines including those planning to enter an Honours or Major program in Mathematics or Statistics. Rigorous treatment of limits, continuity, and differentiation (with epsilon-delta proofs), applications in optimization problems, related rates, l'Hopital's rule, curve sketching, Taylor polynomials. Not to be held with MATH 1500, MATH 1501, MATH 1510, MATH 1520, the former MATH 1680, or MATH 1690. Prerequisite: Pre-calculus Mathematics 40S (70%) or the former Mathematics 40S (300) (70%), or the MSKL 0100 offered by Extended Education (B).
-

3.0 Credit hours

  (Lab required) The course is intended for students in mathematically  rich disciplines including those planning to enter an Honours or Major program in Mathematics or Statistics. Rigorous treatment of limits, continuity, and differentiation (with epsilon-delta proofs), applications in optimization problems, related rates, l'H{ô}pital's rule, curve sketching, Taylor  polynomials. 

Not to be held with MATH 1500, MATH 1501, MATH 1510,  MATH 1520, the former MATH 1680, or MATH 1690. Prerequisite:  Pre-calculus Mathematics 40S (70%) or the former Mathematics 40S (300) (70%), or the MSKL 0100 offered by Extended Education (B).

  (Lab required) The course is intended for students in mathematically  rich disciplines including those planning to enter an Honours or Major program in Mathematics or Statistics. Rigorous treatment of limits, continuity, and differentiation (with epsilon-delta proofs), applications in optimization problems, related rates, l'H{ô}pital's rule, curve sketching, Taylor  polynomials. 

Not to be held with MATH 1500, MATH 1501, MATH 1510,  MATH 1520, the former MATH 1680, or MATH 1690. Prerequisite:  Pre-calculus Mathematics 40S (70%) or the former Mathematics 40S (300) (70%), or the MSKL 0100 offered by Extended Education (B).