calculus ii tools for applied mathematics. what to remember from calculus i the derivative of a...
TRANSCRIPT
Calculus IITools for Applied Mathematics
What to Remember from Calculus I
The derivative of a function measures its instantaneous rate of change (slope)
The integral of a function is a limit of Riemann sums (area)
The Fundamental Theorem of Calculus shows that integration and differentiation are inverses
What you’ll Learn in Calculus II (1 of 2)
Applications of the Integral: “If it’s a limit of Riemann sums, it’s an integral’’
Techniques of integration: Integration by parts, trig substitutions, trigonometric integrals, partial fractions
Numerical integration
Solving Differential Equations
What you’ll Learn in Calculus II (2 of 2)
Sequences and Series
Power Series for Functions
Taylor Series
Parametric equations, polar coordinates
How to Succeed in Learning Calculus II
Attend all lectures and recitations
Spend 8—10 hours outside of class on this course
Prepare for lectures by reading the section before the lecture
Prepare for recitations by attempting the recitation worksheet before recitation
Complete all WebWork assignments on time and 100% correct
Get help when you need it!
Lecture EtiquetteCome to class prepared to think and work
Participate fully in class
Behave respectfully by silencing cell phones, shutting off laptops, and focusing on in-class assignments
Ask for help when you need it, give help when you can
Components of this Course
Three midterm exams (100 points each)
Final exam (100 points)
Lecture attendence grade (20 points)
Recitation quizzes (20 points)
Webwork homework (60 points)
A total of 500 possible points
Grading Scale
Score (out of 500) Grade
450—500 A
400—449 B
350—399 C
300—349 D
0—299 E
I am here to help you
Office hours: MWF 2:00—3:00 PM or by appointment
E-Mail: [email protected]
Cell phone: (859) 361-7725
Good luck this semester!