10B Summer 2026
10B Summer 2026
⚠️Syllabus⚠️
Office Hours:
Location - Skye Hall 268
Times:
Exam Info:
Midterm (in-class): Thursday 10am-11:20am, 13th Aug
Final Exam (same class room): Saturday 8am-10am, 30th Aug
Homework List
Lecture 1 - 27th July: 1.1 Vectors
Lecture 2 - 28th July:1.2 Dot Product
Lecture 3 - 29th July: 1.3 Cross Product
Lecture 4 - 30th July: 1.3 More examples on Cross Product and Planes
Pre-class notes - fixed
Subbed class - no live lecture notes
Lecture 5 - 4th Aug: 1.4 Cylindrical and Spherical Coordinates
Lecture 6 - 5th Aug: 1.5 R^n and 2.1 Geometry of Real-Valued Functions, Level Sets
Lecture 7 - 6th Aug: 2.2 Limits and Continuity
Lecture 8 - 7th Aug: 2.3 Partial Derivatives, Tangent Planes, Differentiation
Lecture 9 - 11th Aug: 2.3 Approximations, Gradients, 2.4 Curves
Lecture 10 - 12th Aug: 2.5 Properties of the Derivative - Chain Rule
Lecture 11 - 13th Aug
Some review problems relevant to our midterm:
Review exercises for chapter 1 (page 70-73): 4, 6, 7, 8, 14, 18, 23, 28-30, 52-57
Review exercises for chapter 2 (page 144-148): 2, 3, 5-7,9, 10, 11, 14, 15, 18, 20
This is an incomplete, non-exhaustive list in preparation for the midterm. You should also review homeworks, quizzes, and in-class examples.
Lecture 12 - 14th Aug MIDTERM
Lecture 13 - 18th Aug: 2.6 Gradients and Directional Derivative
Lecture 14 - 19th Aug: 3.1 Partial Derivatives, 3.2 Taylor polynomials of second order
Lecture 15 - 20th Aug: 3.3 Critical points and extrema of multivariable functions, derivative test
President Nixon using the third derivative to advance his case for reelection
Lecture 16 - 21st Aug: 3.3 Global Extrema, 3.4 Lagrange Multipliers
Lecture 17 - 25th Aug: 4.2 Arc Length, 4.3 Vector Fields
The Hairy Ball Theorem implies that any instance, there is a place on earth that has zero wind.
The Ham Sandwich Theorem.
Lecture 18 - 26th Aug: 4.3 Vector Fields continued
Pre-class notes - fixed last two examples on vector fields
Lecture notes - fixed last two examples on vector fields
Lecture 19 - 27th Aug: 4.4 Divergence and Curl
Supplementary video by 3 Blue 1 Brown
Lecture 20 - 28th Aug
Some review problems relevant to our final:
Review exercises for chapter 3 (page 211-215): 3, 4, 5, 8, 9, 10, 15, 20, 24, 26
Review exercises for chapter 4 (page 260-262): 2, 5, 9, 10, 14, 19, 21, 24, 25, 27
This is an incomplete, non-exhaustive list in preparation for the final. You should also review homeworks, quizzes, and in-class examples.
Time: Saturday 8am-10am, 30th Aug
Location: INTS 2130 (usual classroom)