00 Course Materials, Recordings of BB sessions
Links to Recorded Blackboard Sessions |
Syllabus |
text Exercises 12, 13 |
Text Exercises 12, 13 Answers |
Textbook Exercises and Answers 141 thru 144 |
121 Parametric Equations and Plane Curves
122 Parametric Equations and Calculus
123_124 Polar Coordinates and Polar Graphs
125 Area and Arc Length in Polar Coordinates (optional)
131 Vectors in the Plane
132 The Dot Product of Two Vectors
133 Vector Valued Functions (optional)
141 Space Coordinates and Vectors in Space
142 The Cross Product of Two Vectors in Space
143 Lines and Planes in Space
144 Surfaces in Space
Rev01 Review for exam 1
Review for exam 1 |
Review for exam 1 |
Review for exam 1 - solutions (revised) |
151 Introduction to Functions of Several Variables
152_153 Limits and Continuity; Partial Derivatives
154 Differential
155 Chain Rules for Functions of Several Variables
156 Directional Derivatives and Gradients (optional)
157 Tangent Planes and Normal Lines (optional)
158 Extrema of Functions of Two Variables
161 Iterated Integrals and Area in the Plane
162 Double Integrals and Volume
163 Change of Variables: Polar Coordinates (Optional)
Rev02 Review for exam 2
101_102 Sequences and Series
103 The Integral Test and p-Series
104 Comparisons of Series
105 Alternating Series
106 The Ratio and Root Tests
107 Taylor Polynomials and Approximations
108 Power Series
109 Representations of Functions by Power Series
110 Taylor and Maclaurin Series
Rev03 Review for exam 3
RevFin Review for final
Review for final |
Review final - with answers |
Review for final - solutions |