Available courses

MATH 2150 - Vector Calculus - Winter 2024

(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 2040 - Curves and Surfaces - Winter 2024

(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.

MATH 1230 - Differential Calculus - F2023

  (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).

  


Math 2040 - Curves and Surfaces - Winter 2023

(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.

Math 2150 - Vector Calculus - Winter 2023

(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 - Fall 2022

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

MATH 8810 - Topics in Geometry - Summer 2022

Reading course on topics in geometry.

MATH 2040 - Curves and Surfaces - W2022

(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.

MATH 1230 - Differential Calculus - F2021

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).
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3.0 Credit hours

MATH 3132 - Engineering Mathematical Analysis 3 - Fall 2020

MATH 3132 - Engineering Mathematical Analysis 3
(Lab required) Vector integral calculus; series of Ordinary differential equations; Fourier series and Partial differential equations. For Engineering and Geophysics students only. May not be held with the former MATH 3740, the former MATH 3800, or the former MATH 3100. Prerequisites: MATH 2130 and MATH 2132.
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MATH 3132 - Engineering Mathematical Analysis 3. This course is delivered remotely. It uses a combined synchronous-asynchronous course design. Lectures will be pre-recorded and available on UMLearn and Youtube. Class-times will be reserved for problem sessions. A mandatory, 50 minute live lab will be held weekly. Your computer or device, and Internet connection must meet the UM minimum requirements found here https://centre.cc.umanitoba.ca/wp-content/uploads/2020/04/Student-Connectivity-Recommendations.pdf. These are required for all Fall 2020 classes. Students will require Webex and Zoom. Assessment in the course will be based on: attendance/participation / weekly homework assignments and in-lab quizzes / two midterm exams / a final exam.

MATH 1230 - Differential Calculus - Fall 2019

  (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).

  


MATH 2150 - Vector Calculus - Winter 2019

 (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 (C) or MATH 2081 (C) or the former MATH 2202 (C).