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Calculus 3

Office Hours: Mondays 3-4pm and Thursdays 12:30-1:30pm in LIT457.

Syllabus: The course syllabus is linked here.

Study Resources: Check out my past calc 3 pages to see examples of quizzes and FRQs. For past exams, click here.

Solutions

Quiz 1
Quiz 2
Exam 1 FRQ
Quiz 3
Quiz 4
Exam 2 FRQ
Quiz 5
Quiz 6
Exam 3 FRQ
Quiz 7
Quiz 8

Schedule

DateLecture TopicNotes
May 11
May 12
May 14
May 15
L1: 3D Rectangular System
L2: Vectors
L3: Dot Product
L4: Cross Product



Quiz 1 (L1-L3)
May 18
May 19
May 21
May 22
L5: Lines and Planes
L6: Quadratic Surfaces
L7: Vector Valued Functions
L8: Arc Length and Curvature



Quiz 2 (L5-L7)
May 25
May 26
May 28
May 29
No class
L9: Motion in Space
Exam review
Memorial Day


Exam 1 (L1-L9)
June 1
June 2
June 4
June 5
L10: Functions of Several Variables
L11: Limits and Continuity
L12: Partial Derivatives
L13: Tangent Planes and Linear Approximations



Quiz 3 (L10-L12)
June 8
June 9
June 11
June 12
L14: The Chain Rule
L15: Directional Derivatives and Gradients
L16: Gradients and Tangent Planes
L17: Maximum and Minimum Values



Quiz 4 (L14-L16)
Abby out of town Friday
June 15
June 16
June 18
June 19
L18: Lagrange Mulitpliers
Exam review

No class
Abby out of town all week

Exam 2 (L10-L18)
Juneteenth
Summer Break!
June 29
June 30
July 2
July 3
L19: Double Integrals over Rectangles
L20: Double Integrals over General Regions
L21: Change of Coordinates
No class


Quiz 5 (L19-L20)
Independence Day (observed)
July 6
July 7
July 9
July 10
L22: Change of Variables in Multiple Integrals
L23: Double Integrals in Polar Coordinates
L24: Triple Integrals in Rectangular Coordinates
Review day



Quiz 6 (L22-L24)
July 13
July 14
July 16
July 17
L25: Triple Integrals in Cylindrical Coordinates
L26: Triple Integrals in Spherical Coordinates
Exam review



Exam 3 (L19-L26)
July 20
July 21
July 23
July 24
L27: Vector Fields
L28: Line Integrals
L29: Fundamental Theorem of Line Integrals
Review day



Quiz 7 (L27-L29)
July 27
July 28
July 30
July 31
L30: Green’s Theorem
L31: Parametric Surfaces
L32: Surface Integrals
Review day



Quiz 8 (L30-L32)
August 3
August 4
August 6
August 7
L33: Stokes’ Theorem
L34: Divergence Theorem
Exam review



Exam 4 (Final) (L27-L34)

Contact

aowens2@ufl.edu

Other Resources

Math Study Center (LIT 215). Open M-F, 10:30am-4pm. Get access to tutoring and past exams (printed).

Paul’s Online Math Notes has extra notes, examples, and practice problems with solutions.

A guide to determining basic quadratic surfaces.