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MATH1120: Mathematics for Engineering, Science and Technology 2

I Calculus
1 CA1: Maclaurin Series
2 CA2: Taylor Series
- Generating New Series from Known Series
- Taylor Series
3 CA3: Functions of Several Variables
4 CA4: Partial Differentiation
- Partial Differentiation
- Higher Partial Derivatives
5 CA5: Linear Approximations
6 CA6: The Directional Derivative
- Directional Derivatives
- In Three Variables
7 CA7: Local and Global Extrema
8 CA8: Chain Rules
II Differential Equations
9 DE1: Introduction
- Introduction
- Direction Fields and Euler's Method
10 DE2: First Order Separable DEs
11 DE3: First Order Linear DEs
12 DE4: Homogeneous Second Order Linear DEs
- Homogeneous Second Order Linear DEs With Constant Coefficients
13 DE5: Non-Homogeneous Second Order Linear DEs
- Non-Homogeneous First Order Linear DEs
- The Method of Undetermined Coefficients
14 DE6: An Application of Second Order Linear DEs with Constant Coefficients
III Linear Algebra
15 LA1: Systems of Linear Equations
16 LA2: Geometric Interpretations of Linear Equations
- Interpretation Via Rows
- Interpretation Via Columns
17 LA3: Matrix Algebra
18 LA4: Square Matrices
- Inverse Matrices
- Determinants
19 LA5: Eigenvalues and Eigenvectors
20 LA6: Some Applications of Eigenvalues and Eigenvectors
- Powers of Matrices
- Coupled Linear Differential Equations

Authored in PreTeXt

Chapter 7 CA7: Local and Global Extrema

7.1 Critical Points
7.2 Second Derivative Test
7.3 Global Extrema