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Mathematics for Business and Economics GEN1201/ECN1201 L, Kalybay Aigerim
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Department of Economics
GEN1201/ECN1201 L, Kalybay Aigerim
Week 5
Lecture #5: Tangent line and L’Hopital’s rule
Lecture #5: Tangent line and L’Hopital’s rule
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Lecture #5 Tangent line and L’Hopital’s rule.pdf
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◄ Exercises #4: Derivatives
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Lecture #1: Linear functions
The following video shows how to write the equation for a line given its slope and a point on the line.
The following video shows how to write the equation for a line given two points on the line.
Exercises#1: Linear functions
Test #1: Linear functions
Lecture #2: Quadratic, polynomial, rational, exponential, and logarithmic functions
Exercises #2: Polynomial, rational, exponential, and logarithmic functions
Test results
Lecture #3: Limits and asymptotes
The following video shows how to find limits at infinity for rational functions
Exercises #3: Limits
Lecture #4: Derivatives
Finding the derivative of a composite function by the chain rule
Exercises #4: Derivatives
Finding the equation of a tangent line to a function at a given point
Exercises #5: Tangent line, L’Hopital’s rule, and asymptotes
Preparation for Midterm #1
Lecture #6: Intervals of monotonicity and local extreme points, Intervals of concavity and infection points
Exrecises #6: Intervals of monotonicity and local extreme points, Intervals of concavity and infection points
Lecture #7: Strategy for graphing function
This Google Slides presentation shows the different stages involved in sketching the graph
Exercises #7: Strategy for graphing function
Lecture #8: Antiderivatives and indefinite integrals
Exercises #8: Antiderivatives and indefinite integrals
Lecture #9: Definite integrals and average value
Exercises #9: Definite integrals and average value
Lecture #10: Area between two curves
Exercises #10: Area between two curves
Preparation for Midterm #2
Lecture #11: Matrices
Exercises #11: Matrices
Lecture #12: Determinants and Inverse matrix
Exercises #12: Determinants and Inverse matrix
Lecture #13: Matrix equations, System of linear equations, and Gaussian elimination
Exercises #13: Matrix equations and Gaussian elimination
Lecture #14: Cramer's rule
Exercises #14: System of linear equations
Preparation for Final Exam
Sample Final Exam
Finding the equation of a tangent line to a function at a given point ►
GEN1201/ECN1201 L, Kalybay Aigerim
Course info
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9: Mid-term Break
Week 10
Week 11
Week 12
Week 13
Week 14
Week 15
Week 16
Final Exam
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