Calc 3 Final Review Essay

Test Reviews

Test reviews are conducted for several mathematics courses and other courses throughout the term by Teaching Center tutors. The reviews are typically scheduled two nights prior to the examination. Review materials may also be published on the Teaching Center website.  To view materials on this page, you must have a PDF viewer such as Adobe Acrobat Reader.

Chemistry 1025 Test Reviews

Review MaterialsReview TimeLocationOld Tests
Test 1 – 1/26/18Review Packet1/24/18 5-7pm FLG 245
Test 2 – 2/14/18Review Packet2/12/18 5-7pm CSE E220
Test 3 – 3/29/183/27/18 5-7pmTUR 2333
Test 4 – 4/19/184/17/18 5-7pmTUR 2333
Final – 4/30/184/29/18 5-7pm

Chemistry 2045 Test Reviews

Review MaterialsReview TimeLocationOld Tests
Test 1Review Packet 1/30/18 5-7pm WM 100
Test 2Review Packet3/12/18 5-7pm MAT 18
Test 34/8/18 5-7pmMAT 18
Final4/29/18 5-7pm

Physics 2048 Test Reviews

Review MaterialsReview TimeLocationOld Tests
Test 1 – 2/15/18Review Packet2/14/18 5:10-7:00pmNPB 1001
Test 2- 3/29/183/27/18 6:30-8:30pmPUGH 170
Final – 5/1/184/30/18 5-7pm

Mathematics Test Reviews (scroll down)

You must print mathematics review materials and bring them with you to the review.

You may pickup a paper copy of an old test for free at the Teaching Center. If we run out of paper copies for a particular test, only then will we post a scanned copy of the old test in the table below.  Old exams are available for math classes up to Calc 2.

Answers to the old tests are posted in the Math Study Center located in Southeast Broward Hall, except for Calc II, which is posted in the Tutoring Center Lobby in Southwest Broward Hall.

See the table below for times and locations of reviews:

MAC1105–College Algebra

Review MaterialsReview Date & TimeLocationOld Tests
Test 1 – 2/1/18Review Packet1/31/18 6-8pmFLG 220Test 1
Test 2 – 3/1/18Review Packet2/28/18 6-8pmFLG 220
Test 3 – 4/5/184/4/18 6-8pmMCCA G186
Test 4 – 4/24/184/23/18 6-8pmFAB 105
Final – 4/28/184/27/18 4-6pm

MAC1140–Pre-Calculus / Algebra

Review MaterialsReview Date & TimeLocationOld Tests
Test 1 – 2/6/18Review Packet2/5/18 6-8pmFLG 220
Test 2 – 3/15/18Review Packet

Additional Problems

3/13/18 6-8pmWEIM 1064
Test 3 – 4/12/184/11/18 6-8pmFLG 220
Final – 4/28/184/26/18 4-6pm

MAC1147–Precalculus / Trig

Review MaterialsReview Date & TimeLocationOld Tests
Test 1 – 1/30/18Review Packet
Additional Problems
1/29/18 5:30-7:30pm FLG 210
Test 2 – 2/22/18Review Packet

Additional Problems

 2/20/18 5:30-7:30pm FLG 280
Test 3 – 3/26/183/25/18 5-7pmTUR L007
Test 4 – 4/16/184/15/18 5-7pmTUR L007
Final – 4/28/184/26/18 4-6pm

MAC2233–Survey of Calculus 1

Review MaterialsReview Date & TimeLocationOld Tests
Test 1 – 2/13/18 Review2/12/18  5:30-7:30pm FLG 210
Test 2 – 3/20/183/19/18 5:30-7:30pmMCCC 100
Test 3 – 4/12/184/10/18 5:30-7:30pmNRN 0137
Final – 4/28/184/26/18 4-6pm

MAC2234–Survey of Calculus 2

Review MaterialsReview Date & TimeLocationOld Tests
Test 1 – 2/6/18Review Packet2/5/18 5-7pm FAB 105Exam 1
Test 2 – 3/15/18Review Packet3/13/18 5-7pmFAB 105Test 2
Test 3 – 4/5/184/3/18 5-7pm FAB 105
Final – 4/28/18 4/27/18 4-6pm

MAC2311–Calculus 1

MAC2312–Calculus 2

Review MaterialsReview Date & TimeLocationOld Tests
Test 1 – 2/13/18Review Packet
Additional Review Problems
2/12/18 5-7pm NEB 202
Test 2 – 3/13/18Review Packet3/12/18 5-7pmNRN 0137
Test 3 – 4/12/184/10/18 5-7pmWEIM 1064
Final – 4/28/184/26/18 4-6pm

 

MAC2313–Calculus 3

Review MaterialsReview Date & TimeLocationOld Tests
Test 1 – 2/1/18Review Packet1/30/18 5-7pmWEIM 1064
Test 2 – 3/1/18Review Packet2/27/18 5-7pm FAB 105
Test 3 – 4/5/184/3/18 5-7pmWEIM 1064
Final – 4/28/184/27/18 4-6pm

 

MGF1106–Math for Liberal Arts and Sciences

 

This course covers Calculus of several variables. The concepts are extensions of the concepts from Calculus I. It is necessary to remind the students of those basic concepts, as the course progresses. Multivariable Calculus is an important tool in Science and Engineering. The instructor should emphasize the importance of all relevant concepts, including: curves and surfaces in Euclidean 3-space, length and curvature, area and volume; surfaces, partial derivatives, total differential, tangent planes to surfaces; gradient; vector-valued functions; path integral; Stokes' theorem, which should be stated, with an emphasis on its important particular cases, Green's Theorem and Divergence Theorem - followed by a few basic examples.

Grading Policy

Homework is worth 20% of the final grade.
However in order to pass the class your overall grade in the HW at the end of the semester should be at least 50%. This may appear radical, but besides the exams, the HW system is a major tool the instructor has to asses your class performances. The instructor will check regularly your HW score and let you know if you are not on track.

Examinations:

Exam #1: Wed, February 11, 5:30-6:30 room Math110 worth 15% of the final grade
Exam #2: Wed, March 11, 5:30-6:30 room Math110 worth 20% of the final grade
Exam #3: Wed, April 22, 5:30-6:30 room Math110 worth 20% of the final grade
Final Exam: Mon, May 11, 10:30-1:00 worth 30% of the final grade

Overall grade: a perfect score in all tests and homeworks results in a overall grade of 105% .
If your overall score is less than 60% you will receive an F grade, in between 60-69% you will receive a D grade, in between 70-79% you will receive a C grade, in between 80-89% you will receive a B grade, in between 90-99% you will receive an A grade, with 100% or more you will receive A+.




Exam Policy

Students are expected to take the midterm exams and the final exam as scheduled. Students who live close enough to Lubbock (75 miles around Lubbock) will have to take the midterm exams and final exam at Texas Tech University in Lubbock at the Mathematics and Statistics department. If students have a conflict in schedule or are far away from Lubbock, they need to provide necessary documentation, and arrange a different place and/or time for examination. In that cased, depending on their geographic location, each student should make arrangements with a certified testing service. In case no agreeable solution can be found, the Texas Tech University Testing Services in Lubbock will be designated to administer the examination. Testing centers (including the TTU Testing Center) charge a fee to administer the exam.

The following link can be used to obtain a copy of the proctor form in Adobe Acrobat(.pdf) format

Proctor form PDF File 


This is a distance class, all the students enrolled in this class should be highly responsible in managing their schedule. This course moves very fast. If you fall behind, even by one section, you may not be able to catch up, since each section generally depends very heavily on the ones before. A student enrolled in this class has to be capable to read and understand the textbook. If in the past you struggled in self-lecturing mathematics, then this is not the class for you and it is highly recommended you switch to a face-to-face class. The instructor expects for the student to read each section of the textbook, watch the videos and read the class-notes before attempting to solve the homework problems. When asking for help you need to show all your work, by typing it on the email (better) or by attaching a scanned copy of your work. When asking for help for a WebWork problem it is recommended you use the button email to the instructor at the bottom of the screen, otherwise you may not get any answer.

Videos

Review of Sections 9.1-9.4

Vector Basics 

Vector Component Form 

Scalar Multiplication  

Adding and Subtracting Vectors 

Vector Operations - Example 1  

Standard Unit Vectors  

Magnitude of a Vector  

Magnitude of a Vector - Example 1  

Unit Vector  

How to Normalize a Vector  

3D Vectors  

Vector Dot Product  

Dot Product - Example 1  

Using Dot Product to Find the Angle Between Two Vectors  

Finding Angles Using Dot Products - Example 1  

Vector Projections  

Vector Projections - Example 1  

Vector Cross Product  

Vector Cross Product - Example 1  

Vector Cross Product - Extra Theory  




HW01 is due 01/21/2015 at 11:59pm CST



Section 9.5

Parametric Equations  

Graphing Parametric Equations  

Eliminating the Parameter  

Eliminating the Parameter - Example 1  

Differences in the Parametrization  

How to Parametrize a Curve  

Parametrization - Example 1  

Lines in Space  

Lines in Space - Example 1 

Lines in Space - Example 2 

Lines in Space - Symmetric Equations  

Lines in Space - Parametric to Symmetric  

Lines in Space - Symmetric to Parametric 

Lines in Space - Are These Lines Parallel? 

Section 9.6

Equations of Planes in Space 

Plane in Space - Extra Theory 

Standard vs General Form of a Plane 

Normal Vector of a Plane 

Equation of a Plane - Example 1 

Equation of a Plane - Example 2 

Equation of a Plane - Example 3 

Distance Between a Point and a Plane 

Distance Between a Point and a Plane - Example 1 

Distance Between a Point and a Line 

Distance Between a Point and a Line - Example 1 

Angle Between Two Planes  

Angle Between Two Planes - Example 1  

Line of Intersection of Two Planes  

Section 9.7

The Equation of the Sphere 

Introduction to Quadric Surfaces 

Quadric Surface: The Ellipsoid  

Quadric Surface: The Hyperboloid of Two Sheets  

Quadric Surface: The Hyperboloid of One Sheets  

Quadric Surface: The Elliptical Cone  

Quadric Surface: The Elliptical Paraboloid  

Quadric Surface: The Hyperbolic Paraboloid  




HW02 is due 01/29/2015 at 11:59pm CST



Section 10.1

Introduction to Vector Valued Functions 

The Domain of a Vector Valued Function 

Determine a Vector Valued Function from the Intersection of Two Surfaces 

Limits of Vector Valued Functions 

Section 10.2

The Derivative of a Vector Valued Function 

Properties of the Derivatives of Vector Valued Functions 

The Derivative of the Cross Product of Two Vector Valued Functions  

Determining Where a Space Curve is Smooth from a Vector Valued Function  

Determining Velocity, Speed, and Acceleration Using a Vector Valued Function  

Indefinite Integration of Vector Valued Functions  

Ex: Integrate a Vector Valued Function  

Indefinite Integration of Vector Valued Functions with Initial Conditions  

Ex: Find the Velocity and Position Vector Functions Given the Acceleration Vector Function  

Section 10.4

Determining the Unit Tangent Vector  

Ex: Find a Unit Tangent Vector to a Space Curve Given by a Vector Valued Function  

Determining the Unit Normal Vector  

Arc Length Using Parametric Equations  

Determining Arc Length of a Curve Defined by a Vector Valued Function  

Ex: Determine Arc Length of a Helix Given by a Vector Valued Function  

Determining Curvature of a Curve Defined by a Vector Valued Function  




HW03 is due 02/08/2015 at 11:59pm CST


Lecture Notes from Spring 2014

Lecture Notes for sections 9.1-9.5  

Lecture Notes for section 9.6  

Lecture Notes for sections 9.7 and 10.1  

Lecture Notes for section 10.2  

Lecture Notes for section 10.4  



Exam 1 is scheduled in room Math110, Mathematics Building on Wednesday February 11 at 5:30 pm. Exam 1 is comprehensive of Sections 9.5-9.7, 10.1, 10.2, 10.4 (HW02 and HW03). However to be prepared for the exam all the material reviewed in sections 9.1-9.4 (HW01) is necessary. To prepare for the exam review all 40 problems in HW02 and HW03. You need to know how to solve each of them without the use of the book, formula sheets and/or calculator. The exams consists of 6 questions and should be completed in 50 mins. A sample of how the exam is structured is given below. You need to bring with you a pencil, an eraser and student ID. A blank page at the end of the test is provided for scratch work, and other will be available if needed.

Exam 1 Solution Key  









Videos

Sections 11.1-11.3

Introduction to Functions of Two Variables  

Level Curves of Functions of Two Variables  

Limits of Functions of Two Variables  

First Order Partial Derivatives  

Implicit Differentiation of Functions of One Variable Using Partial Derivatives  

Second Order Partial Derivatives  




HW04 is due 02/22/2015 at 11:59pm CST



Sections 11.4-11.6

Differentials of Functions of Two Variables  

Applications of Differentials of Functions of Several Variables  

The Chain Rule for Functions of Two Variable with One Independent Variable  

Ex: Chain Rule - Function of Two Variables with One Independent Variable  

Partial Implicit Differentiation  

The Chain Rule for Functions of Two Variable with Two Independent Variables  

Ex: Chain Rule - Function of Two Variables with Two Independent Variable  

Ex: Chain Rule - Function of Two Variables with Three Independent Variable  

Directional Derivatives  

Ex: Find a Value of a Directional Derivative - f(x,y)=ln(x^2+y^2)  

The Gradient  

Ex: Find the Gradient of the Function f(x,y)=xy  

Ex: Use the Gradient to Find the Maximum Rate of Increase of f(x,y)=(4y^5)/x from a Point  

Determining a Unit Normal Vector to a Surface  

Verifying the Equation of a Tangent Plane to a Surface  

Determining the Equation of a Tangent Plane  

Ex 1: Find the Equation of a Tangent Plane to a Surface  

Ex 2: Find the Equation of a Tangent Plane to a Surface (Exponential)  




HW05 is due 03/01/2015 at 11:59pm CST



Sections 11.7 and 11.8

Determining the Relative Extrema of a Function of Two Variables  

Applications of Extrema of Functions of Two Variables I  

Applications of Extrema of Functions of Two Variables II  

Applications of Extrema of Functions of Two Variables III  

Absolute Extrema of Functions of Two Variables  

Lagrange Multipliers - Part 1  

Lagrange Multipliers - Part 2  

Maximize a Function of Two Variable Under a Constraint Using Lagrange Multipliers  




HW06 is due 03/08/2015 at 11:59pm CST






Lecture Notes from Spring 2014

Lecture Notes for sections 11.1  

Lecture Notes for section 11.2-11.3 

Lecture Notes for sections 11.4  

Lecture Notes for section 11.5 and 11.6  

Lecture Notes for section 11.6 and 11.7  

Lecture Notes for section 11.7  

Lecture Notes for section 11.8  



Exam 2 is scheduled in room Math110, Mathematics Building on Wednesday March 11 at 5:30 pm. Exam 2 is comprehensive of Sections 11.2-11.8 (HW04, HW05 and HW06). To prepare for the exam review all 50 problems in the homeworks. You need to know how to solve each of them without the use of the book, formula sheets and/or calculator. The exams consists of 6 questions and should be completed in 50 mins. A sample of how the exam is structured is given below. You need to bring with you a pencil, an eraser and student ID. A blank page at the end of the test is provided for scratch work, and other will be available if needed.

Exam 2 Solution Key  

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