Department of Engineering Mathematics
Motto
3M: “Moderate to Mature by Maths”
History
Department of Engineering Mathematics provides fundamental mathematics knowledge essential for engineering students. The Department of Engineering Mathematics has been established since the Government Technical Institute, Mandalay was opened in 1955. Department started Under Graduate program in the year 1955. Therefore, Department of Engineering Mathematics of TUM is 70 years old in engineering education service.
Vision
To Support Engineering students the skillfulness in solving the problems practically by guiding how to identify, analyze and formulate throughout critical thinking.
Mission
- To stand up for teaching and practising knowledge and thinking related to Engineering Mathematics, being important to Engineering programmes and architecture.
Objectives
- To achieve a minimum 80% passing rate in engineering mathematics for students taking engineering courses each year.
- To achieve a minimum of 40% for each course outcome in the examination.
First Year (1st Semester) EM – 1001: Engineering Mathematics I
| Chapter No. | Title |
|---|---|
| CH(4) | Applications of Derivatives (4.2, 4.5) |
| CH(6) | Applications of Definite Integrals (6.2 – 6.4) |
| CH(7) | Integrals and Transcendental Equations (7.1 – 7.4) |
| CH(8) | Techniques of Integration (8.3, 8.4, 8.8) |
| CH(7) | Linear Independence. Rank of a Matrix. Vector Space, Determinants. Cramer’s Rule, Inverse of a Matrix. Gauss–Jordan Elimination (7.3 – 7.8) |
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First Year (2nd Semester) EM – 2011: Engineering Mathematics II
| Chapter No. | Title |
|---|---|
| CH(10) | Infinite Sequences and Series (10.1 – 10.5) |
| CH(11) | Parametric Equations and Polar Coordinates (11.1 – 11.7) |
| CH(13) | Vector-valued Functions and Motion in Space (13.1 – 13.5) |
| CH(14) | Partial Derivatives (14.3 – 14.7) |
| CH(15) | Multiple Integrals (15.1 – 15.5) |
| CH(16) | Integrals and Vector Fields (16.1 – 16.7) |
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Second Year (1st Semester) EM – 21003: Engineering Mathematics III
| Chapter No. | Title |
|---|---|
| CH(1) | Application of Definite Integrals (6.1 – 6.4) |
| CH(2) | Integrals and Transcendental Functions (7.1 – 7.3) |
| CH(3) | Parametric Equations and Polar Coordinates (11.1 – 11.5) |
| CH(4) | Vector and the Geometry of Space (12.1 – 12.5) |
| CH(5) | Linear Algebra II (7.8, 8.1) |
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Second Year (2nd Semester) EM – 22004: Engineering Mathematics IV
| Chapter No. | Title |
|---|---|
| CH(1) | Vector-Valued Functions and Motion in Space (13.1 – 13.6) |
| CH(2) | Partial Derivatives (14.3 – 14.7) |
| CH(3) | Multiple Integrals (15.1 – 15.5) |
| CH(4) | Integration in Vector Fields (16.1 – 16.7) |
| CH(5) | First Order ODEs (1.1 – 1.5) |
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Third Year (1st Semester) EM – 31005: Engineering Mathematics V
| Chapter No. | Title |
|---|---|
| CH(1) | Infinite Sequences and Series (10.1 – 10.5) |
| CH(2) | Second Order Linear ODEs (2.1, 2.2, 2.3, 2.5, 2.6, 2.7, 2.10) |
| CH(3) | Higher Order Linear ODEs (3.1 – 3.3) |
| CH(4) | Laplace Transforms (6.1, 6.2, 6.3, 6.5, 6.6) |
| CH(5) | Fourier Analysis (11.1, 11.2) |
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Third Year (2nd Semester) EM – 32006: Engineering Mathematics VI
| Chapter No. | Title |
|---|---|
| CH(1) | Complex Numbers and Functions. Complex Differentiation (13.3 – 13.7) |
| CH(2) | Complex Integration (14.1 – 14.4) |
| CH(3) | Power Series, Taylor Series (15.1 – 15.4) |
| CH(4) | Laurent Series. Residue Integration (16.1 – 16.4) |
| CH(5) | Conformal Mapping (17.1 – 17.3) |
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Fourth Year (1st Semester) EM – 41007: Engineering Mathematics VII
| Chapter No. | Title |
|---|---|
| CH(1) | Numeric in General (19.2, 19.3, 19.5) |
| CH(2) | Numeric Linear Algebra (20.2 – 20.9) |
| CH(3) | Numeric for ODEs (21.1, 21.3) |
| CH(4) | Unconstrained Optimization. Linear Programming (22.1 – 22.4) |
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Fourth Year (2nd Semester) EM – 42008: Engineering Mathematics VIII
| Chapter No. | Title |
|---|---|
| CH(1) | Graphs. Combinatorial Optimization (23.1 – 23.7) |
| CH(2) | Data Analysis Probability Theory & Queuing Theory (24.5 – 24.9) |
| CH(3) | Confidence Intervals (25.3) |
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ME (1st Semester) EM – 71009: Advanced Engineering Mathematics I
| Chapter No. | Title |
|---|---|
| CH(1) | Linear Algebra: Matrix Eigenvalue Problems |
| CH(2) | Numerics for ODEs and PDEs. |
| CH(3) | Fourier Method |
| CH(4) | Boundary Value Problems |
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ME (2nd Semester) EM – 72010: Advanced Engineering Mathematics II
| Chapter No. | Title |
|---|---|
| CH(1) | Fourier Integrals and Applications |
| CH(2) | Orthonormal Sets |
| CH(3) | Sturm – Liouville Problems and Applications |
| CH(4) | Bessel Functions and Applications |
| CH(4) | Legendre Polynomials and Applications |
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