Calculus 3: Solving the Final Exam | Vector Calculus & More! | Math with Professor V

Hello Calculus 3 students and math enthusiasts! Sit back and relax while I work through and solve the Final Exam that I gave to my Calculus 3 class in fall 2023. It's heavily weighted on the material in the last chapter/unit of the course, covering Line Integrals, Green's Theorem, Surface Area, Stokes' Theorem, The Divergence Theorem, etc.

If you need more in depth lectures on some of the topics covered here, check out the playlist "Calculus 3 Video Lectures" as well as the other links below! Enjoy!

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xoxo,
Professor V

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Calculus 3 Video Lectures:
   • Calculus 3 Video Lectures  

Full Video Lectures for Topics Covered
Vector Fields:    • Calculus 3: Vector Fields (Video #27) | Ma...  
Line Integrals:    • Calculus 3: Line Integrals (Video #28) | M...  
The Fundamental Theorem for Line Integrals:    • Calculus 3: The Fundamental Theorem for Li...  
Green's Theorem:    • Calculus 3: Green's Theorem (Video #30) | ...  
Curl & Divergence:    • Calculus 3: Curl and Divergence (Video #31...  
Parametric Surfaces & Their Areas:    • Calculus 3: Parametric Surfaces and Their ...  
Surface Integrals & Flux:    • Calculus 3: Surface Integrals and Flux (Vi...  
Stokes' Theorem:    • Calculus 3: Stokes’ Theorem (Video #34) | ...  
The Divergence Theorem:    • Calculus 3: The Divergence Theorem (Video ...  

Calculus 2 Lecture Videos on Integration:
Integration by parts:    • Calculus 2: Integration by Parts (Video #1...  
Tabular Integration:    • Integration by Parts - Tabular Method | Ca...  
Trigonometric integrals:    • Calculus 2: Trigonometric Integrals (Video...  
Trigonometric Substitution:    • Calculus 2: Trigonometric Substitution (Vi...  
Partial Fraction Decomposition:    • Calculus 2: Integration of Rational Functi...  
Strategy for Integration:    • Calculus 2: Strategy for Integration (Vide...  
Improper Integrals:    • Calculus 2: Improper Integrals (Video #7) ...  

Calculus 1 Video Lectures:
   • Calculus 1 Video Lectures  

Infinite Limits:    • Infinite Limits | Calculus 1 | Math with P...  
Graphing Piecewise Functions:    • Graphing Piecewise Functions | Math with P...  
Limits at Infinity:    • Calculus 1: Limits at Infinity-Horizontal ...  
Continuity & Piecewise Functions:    • Continuity & Piecewise Functions | Calculu...  

Trig Review:
Unit Circle:    • Trigonometry: Circular Functions (Section ...  
Trig Identities:    • Precalculus: Trigonometric Identities (Sec...  
Sum and Difference Formulas:    • Precalculus: Sum and Difference Formulas f...  
Double Angle & Half-Angle Formulas:    • Precalculus: The Double-Angle and Half-Ang...  

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