Presentation on theme: "Calculus II Tools for Applied Mathematics. What to Remember from Calculus I The derivative of a function measures its instantaneous rate of change (slope)"— Presentation transcript:
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 Etiquette Come 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