This course introduces students to infinite series and multivariable calculus. Topics covered include: Infinite series and convergence test, Taylor series and approximation, vector functions, partial derivatives, gradient, curl and divergence, application of partial derivatives, maxima and minima, multiple integrals, iterated integrals, applications of multiple integrals.
This course covers fundamentals of numerical methods. Topics include solutions of equation, polynomial approximation and interpolation, numerical differentiation and integration, ordinary differential equations, matrix algebra.
We discuss about the thoery of Complex Anaysis in this course
This the tutorial class for SEM102 Quantitative Methods and Data Analysis I
This course introduces students to basic concepts and methods in calculus. Topics covered include: functions, limits, derivatives, chain rule, rates of change, maxima and minima, integration, integration by substitution, partial derivatives, classification of stationary points, differential equations, and separable equations.
This is the tutorial class for SEM102 Quantitative Methods and Data Analysis I
This course introduces students to basic concepts and methods in calculus. Topics covered include: functions, limits, derivatives, chain rule, rates of change, maxima and minima, integration, integration by substitution, partial derivatives, classification of stationary points, differential equations, and separable equations.
Lecture Group: 6
Course Name: Quantitative Methods and Data Analysis I
Course Code: SEM102
Synopsis: This course introduces students to basic concepts and methods in calculus. Topics covered include: functions, limits, derivatives, chain rule, rates of change,
maxima and minima, integration, integration by substitution, partial derivatives, classification of stationary points, differential equations, and separable equations.
athirah.zulkarnain@xmu.edu.my
Lecture Group: 3
Course Name: Quantitative Methods and Data Analysis I
Course Code: SEM102
Synopsis: This course introduces students to basic concepts and methods in calculus. Topics covered include: functions, limits, derivatives, chain rule, rates of change,
maxima and minima, integration, integration by substitution, partial derivatives, classification of stationary points, differential equations, and separable equations.
athirah.zulkarnain@xmu.edu.my
Lecture Group: 4
Course Name: Quantitative Methods and Data Analysis I
Course Code: SEM102
Synopsis: This course introduces students to basic concepts and methods in calculus. Topics covered include: functions, limits, derivatives, chain rule, rates of change,
maxima and minima, integration, integration by substitution, partial derivatives, classification of stationary points, differential equations, and separable equations.
athirah.zulkarnain@xmu.edu.my
Lecture Group: 1
Course Name: Quantitative Methods and Data Analysis I
Course Code: SEM102
Synopsis: This course introduces students to basic concepts and methods in calculus. Topics covered include: functions, limits, derivatives, chain rule, rates of change,
maxima and minima, integration, integration by substitution, partial derivatives, classification of stationary points, differential equations, and separable equations.
athirah.zulkarnain@xmu.edu.my
This course introduces students to the language one needs to study differentiable manifolds. Topics covered include definitions and examples of manifolds, tangent
spaces, partitions of unity, tangent bundles, vector fields, Lie brackets, differential forms, orientability, manifolds with boundary, integration on manifolds, and Stokes’
theorem on manifolds.
This course introduces students to basics techniques in solving ordinary differential equations. Topics covered include: direction fields, first order linear equations,
separable equations, exact equations, integrating factors, existence and uniqueness theorem, second order linear equations, homogeneous equations,
inhomogeneous equations, method of underdetermined coefficients, variations of parameters, higher order linear equations, series solutions, Laplace transforms,
Laplace transform methods in solving ordinary differential equations, systems of first order linear equations.
Topics covered include: convergence of sequences in R^n, open sets and closed sets, limits and continuity, uniform continuity, connectedness, compactness, intermediate value theorem, extreme value theorem, partial derivatives,differentiability, chain rule, mean value theorem, first and second order approximations, local extrema, inverse function theorem, implicit function theorem, constrained extrema problems and Lagrange multipliers, Riemann integrals of functions of several variables, Jordan measurable sets, iterated integrals, Fubini’s theorem, change of variables theorem..