MAT235 Practice Final Exam Solutions

In this video I go over the practice final exam from 2022-2023 MAT235 at the University of Toronto St. George Campus (UofT). This practice final exam was very representative of the difficulty, style, and structure of the actual final exam, which was a pleasant surprise to say the least. If you are preparing for a final exam of your own (for MAT235 or any other math-related course), I highly recommend printing out the blank exam and attempting the exam on your own in an 'exam-like' environment. This entails finding a quite place, setting up a timer, and clearing all distractions. Best of luck!

Relevant videos:

Recommended channels for complete content:

0:00 About the Practice Final Exam
0:32 Q1 Multiple Choice i) Area Inside a Polar Curve
2:08 Q1 Multiple Choice ii) Absolute Extrema
8:40 Q1 Multiple Choice iii) Multivariable Limits
16:49 Q1 Multiple Choice iv) Divergence from a Graph
19:38 Q1 Multiple Choice v) Conservative Vector Field
25:51 Q2 Sketching the Gradient given Level Sets
29:30 Q3 Short Answer i) Equation of Tangent Plane
33:06 Q3 Short Answer ii) Multivariable Chain Rule
38:38 Q3 Short Answer iii) Mass of a Wire
43:07 Q4 Piecewise Multivariable Function Continuity
52:10 Q5 Surface Area
1:07:22 Q6 Absolute Extrema Using Lagrange Multipliers
1:23:00 Q7 Triple Integral
1:36:24 Q8 a) Determine Whether Vector Field is Conservative
1:39:34 Q8 b) FTC for Line Integrals
1:50:41 Q9 Surface Integral
2:16:47 Q10 Green's Theorem
2:29:33 Q11 Stokes' Theorem
2:45:16 Q12 Divergence Theorem

#UofT #MAT235 #calculus #multivariablecalculus #solutions #termtest #testreview #universityoftoronto

MAT235 Course Description: Parametric equations and polar coordinates. Vectors, vector functions and space curves. Differential and integral calculus of functions of several variables. Line integrals and surface integrals and classic vector calculus theorems. Examples from life sciences and physical science applications.

[duck]

BRO I LOVE U KEEP UP THE GOOD WORK LITERAL GODSEND EVERYTHING IS STRAIGHT TO DA POINT IM TAKING 235 THIS SUMMER GOT THE FINAL IN 8 DAYS (from another math major)⭐

[jordaniumjordanicus]

a bit confused at 32:52. didn't you write x0 * fx (x-x0) + y0 * fy (y-y0) ... instead of just fx (x-x0) + fy (y-y0)