## Integral Calculus 2019 Fall

The material on this webspage accompanies the courses MATH 2414.013 and MATH 2414.014 at The University of Texas at Dallas.#### Instructor: Dr. Yi Zhang

### Syllabus: [doc]

### Textbook:

- James Stewart, Calculus, Early Transcendentals, 8th Edition. ISBN-13: 978-1285741550

### Lecture Notes and Homework:

**Vectors and the Geometry of Space**

**Three-Dimensional Coordinate Systems****Vectors**

**Techniques of Integration**

**Further Applications of Integration**

**Differential Equations**

**Parametric Equations and Polar Coordinates**

**Infinite Sequences and Series**

**Sequences [pdf]****Series [pdf]****The Integral Test and Estimates of Sums [pdf]****The Comparison Tests [pdf]****Alternating Series [pdf]****Absolute Convergence and the Ratio and Root Tests [pdf]****Strategy for Testing Series [pdf]****Power Series [pdf]****Representations of Functions as Power Series [pdf]****Taylor and Maclaurin Series [pdf]**

**Homework 4 [pdf]****Homework 5 [pdf]**