Edit (7/25/2021): I now have my own professional website at sohailfarhangi.com that I will be updating in place of this website.
Fall 2017: Math 1151 (Calculus 1)
Spring 2018: Math 1152 (Calculus 2 for Engineers)
Summer 2018: Math 1148 (College Algebra)
Fall 2018: Math 1152 (Calculus 2 for Engineers)
Summer 2019: Math 2153 (Multivariable Calculus)
Fall 2019: Math 1150 (Precalculus)
Spring 2020: Math 2177 (Mathematical Topics for Engineers)
SohailFarhangiNotesFor-3-31-2020
SohailFarhangiNotesFor-4-7-2020
SohailFarhangiNotesFor-4-14-2020
SohailFarhangiNotesFor-4-21-2020
Summer 2020: Math 2255 (Ordinary Differential Equations)
I have started re-recording individual problems that I have presented during my Math 2255 recitations during the Summer of 2020. Below is a list of problems from the 10th edition of ‘Elementary Differential Equations’ by W. E. Boyce and R. C. DiPrima for which I have recorded a video lecture, as well as links to the typed solutions that I use during the video lecture.
Problem 2.2.17: Solving a separable first order differential equation.
Video Lecture: https://youtu.be/Vr8pERAqoPE
Problem2.2.17Colored
Problem2.2.17
Problem 2.2.31: Solving a homogeneous first order differential equation.
Video Lecture: https://youtu.be/bAu2HPLcFx8
Problem2.2.31Colored
Problem2.2.31
Problem 2.4.22: An Initial Value Problem with more than 1 Solution.
Video Lecture: https://www.youtube.com/watch?v=qG92-pLEd5w&feature=youtu.be
Problem2.4.22Colored
Problem2.4.22
Problem 3.3.40: Solving an Euler equation with the method of substitution.
Video Lecture: https://youtu.be/BK8UVm4aMcE
Problem3.3.40Colored
Problem3.3.40
Problem 3.6.16: The method of variation of parameters for a second order linear equation.
Video Lecture: https://youtu.be/-pa45FjJ7nw
Problem3.6.16Colored
Problem3.6.16
Problem 3.6.32: The method of reduction of order for a non-homogeneous second order linear differential equation.
Video Lecture: https://www.youtube.com/watch?v=HHvnZhywztw
Problem3.6.32Colored
Problem3.6.32
Problem 6.3.37: Calculating the Laplace transform of a periodic function.
Video Lecture: https://www.youtube.com/watch?v=AAlhemS0tYs&t=1975s
Problem6.3.37Colored
Problem6.3.37
Below is a copy of the recitation notes that I used during my Math 2255 recitations during the Summer of 2020.
Recitation Notes For 6/11/2020, First Order Differential Equations
Recitation Notes For 6/19/2020, Integral Curves, Exact Equations, Euler’s Method, Recursive Sequences
Recitation Notes For 6/26/2020, Second Order Differential Equations
Recitation Notes For 7/03/2020, Method of Undetermined Coefficients, Variation of Parameters, Reduction of Order, Phase Amplitude Form, Applications to Springs
Recitation Notes For 7/10/2020, Laplace Transforms
Recitation Notes For 7/17/2020, More Laplace Transforms, Linear Dependence in the Wronskian
Recitation Notes For 7/24/2020, Third Order Linear Differential Equation, Series Solutions to Differential Equations
Fall 2020: Math 2177 (Mathematical Topics for Engineers)
Compiled Math 2177 Recitation Notes Fall 2020
The original notes ordered by the date of use.
Optimization Problems
Double Integrals over General Regions and Finding Volumes with Double Integrals
Double Integrals in Polar, Volume with Triple Integrals, and Evaluating a Triple Integral by Changing the Order of Integration
Triple Integrals in Spherical and Cylindrical Coordinates
Optimization Review, Changing the order of Integration, Finding the Volume of a 3D Solid
Line Integrals and Conservative Vector Fields
Solving Linear Systems of Equations
Midterm 2 Review Problems
Invertible Matrices and Complex Numbers
Second Order Linear Differential Equations (and phase-amplitude form)
‘Not Really Second Order’ Differential Equations as well as the Method of Undetermined Coefficients
The Method of Separation of Variables, Eigen Values/Functions of a Second Order Differential Equation, Various Fourrier Series
Convergence of Fourrier Series, Heat Flow Problems, and Vibrating String Problems
Spring 2021: Math 2173 (Engineering Mathematics B) (All source files are available)
+Review of Gradient Vectors and Directional Derivatives
Recitation Handout 1 (1/14/2021) Template
Recitation Handout 1 (1/14/2021) Solutions
+Source Files
Recitation Handout 1 (1/14/2021) Template Tex File
Recitation Handout 1 (1/14/2021) Solutions Tex File
+Optimization and the Second Derivative Test
Recitation Handout 2 (1/21/2021) Template
Recitation Handout 2 (1/21/2021) Solutions
+Source Files
Recitation Handout 2 (1/21/2021) Template Tex File
Recitation Handout 2 (1/21/2021) Solutions Tex File
+The Method of Lagrange Multipliers
Recitation Handout 3 (1/28/2021) Template
Recitation Handout 3 (1/28/2021) Solutions
+Source Files
Recitation Handout 3 (1/28/2021) Template Tex File
Recitation Handout 3 (1/28/2021) Solutions Tex File
+Double Integration over Rectangular Regions
Recitation Handout 4 (2/04/2021) Template
Recitation Handout 4 (2/04/2021) Solutions
+Source Files
Recitation Handout 4 (2/04/2021) Template Tex File
Recitation Handout 4 (2/04/2021) Solutions Tex File
+Double Integration over General Regions and Polar Coordinates
Recitation Handout 5 (2/11/2021) Template
Recitation Handout 5 (2/11/2021) Solutions
+Source Files
Recitation Handout 5 (2/11/2021) Template Tex File
Recitation Handout 5 (2/11/2021) Solutions Tex File
+Practice Midterm 1
Practice Midterm 1
Practice Midterm 1 Solutions
+Source Files
Practice Midterm 1 Tex File
Practice Midterm 1 Solutions Tex File
+Introduction to Triple Integration
Recitation Handout (2/25/2021) Template
Recitation Handout (2/25/2021) Solutions
+Source Files
Recitation Handout 6 (2/25/2021) Template Tex File
Recitation Handout 6 (2/25/2021) Solutions Tex File
+Spherical and Cylindrical Coordinates
Recitation Handout (3/04/2021) Template
Recitation Handout (3/04/2021) Solutions
+Source Files
Recitation Handout 7 (3/04/2021) Template Tex File
Recitation Handout 7 (3/04/2021) Solutions Tex File
+Change of Variables in Double and Triple Integrals
Recitation Handout (3/11/2021) Template
Recitation Handout (3/11/2021) Solutions
+Source Files
Recitation Handout 8 (3/11/2021) Template Tex File
Recitation Handout 8 (3/11/2021) Solutions Tex File
+Vector Fields and Line Integrals
Recitation Handout (3/18/2021) Template
Recitation Handout 9 (3/18/2021) Solutions
+Source Files
Recitation Handout 9 (3/18/2021) Template Tex File
Recitation Handout 9 (3/18/2021) Solutions Tex File
+Line Integrals, Circulation, and Flux
Recitation Handout 10 (3/25/2021) Template
Recitation Handout 10 (3/25/2021) Solutions
+Source Files
Recitation Handout 10 (3/25/2021) Solution tex file
Recitation Handout 10 (3/25/2021) Template tex file
+Practice Midterm 2
Practice Midterm 2
Practice Midterm 2 Solutions
+Source Files
Practice Midterm 2 tex file
Practice Midterm 2 Solutions tex file
+Conservative Vector Fields and an Introduction to Differential Equations
Recitation Handout 11 (4/08/2021) Template
Recitation Handout 11 (4/08/2021) Solutions
+Source Files
Recitation Handout 11 (4/08/2021) Template Tex File
Recitation Handout 11 (4/08/2021) Solutions Tex File
+Complex Numbers and Second Order Linear Differential Equations
Recitation Handout 12 (4/15/2021) Template
Recitation Handout 12 (4/15/2021) Solutions
+Source Files
Recitation Handout 12 (4/15/2021) Template Tex File
Recitation Handout 12 (4/15/2021) Solutions Tex File
+The Method of Undetermined Coefficients
Recitation Handout 13 (4/22/2021) Template
Recitation Handout 13 (4/22/2021) Solutions
+Source Files
Recitation Handout 13 (4/22/2021) Template Tex File
Recitation Handout 13 (4/22/2021) Solutions Tex File
+Practice Final Exam
Practice Final Exam
Practice Final Exam Solutions
+Source Files
Practice Final Exam Tex File
Practice Final Exam Solutions Tex File
Summer 2021: Worked at the Buckeye Aha Math Moments (BAMM) program
Fall 2021: Math 2153 (Multivariable Calculus)
