#1 Wednesday 9/22
• Functions and graphs (P.4)
• Defining and graphing functions in Maple (CAS #1)
#2 Friday 9/24
• New functions from old (pg.22, P.5)
#3 Monday 9/27
• The trigonometric functions (P.6)
• Studying properties of functions in Maple (CAS #1)
#4 Wednesday 9/29
• Introduction to limits and continuity (§1.1)
#5 Friday 10/1
• Limits of functions (§1.2)
#6 Monday 10/4
• Limits at infinity and infinite limits (§1.3)
• Exploring limits in Maple (CAS #1)
#7 Wednesday 10/6
• Continuity (§1.4)
#8 Friday 10/8
• Tangent lines and their slopes (§2.1)
#9 Monday 10/11
• The derivative (§2.2)
• Conceptual introduction to the derivative in Maple (CAS #2)
#10 Wednesday 10/13
• Differentiation rules (§§2.3, 2.4)
#11 Friday 10/15
• Derivatives of trigonometric functions (§2.5)
#12 Monday 10/18
• The Mean-Value Theorem (§2.6)
#13 Wednesday 10/20
• Higher-order derivatives, implicit differentiation (§§2.8, 2.9)
Wednesday, 3:30 p.m.—4:45 p.m., Hour Exam #1: through class #12 Hour Exam #1
#14 Friday 10/22
• Differential equations, IVPs, and the indefinite integral (§2.10)
• CSC A introduced (Rates of Change: Torricelli’s Law)
#15 Monday 10/25
• Velocity and acceleration (§2.11)
• CSC A continued
#16 Wednesday 10/27
• CSC A due CSC A due
• Exponentials, logarithms, and their derivatives (§§3.1, 3.2, 3.3)
#17 Monday 11/1
• Growth and decay (§3.4)
• Slope fields and Euler’s method (pg.994)
#18 Wednesday 11/3
• The inverse trigonometric functions (§3.5)
• CSC B introduced (Population Modeling)
#19 Friday 11/5
• Issues in studying and sketching curves (§§4.2, 4.3, 4.4)
• CSC B continued
#20 Monday 11/8
• The definite integral (§§5.1, 5.2, 5.3)
• CSC B continued
#21 Wednesday 11/10
• Properties of the definite integral (§§5.3, 5.4)
• CSC B continued
Wednesday, 3:30 p.m.—4:45 p.m., Hour Exam #2: through class #20 Hour Exam #2
#22 Friday 11/12
• The Fundamental Theorem of Calculus, the method of substitution (§§5.5, 5.6)
• CSC B due CSC B due
#23 Monday 11/15
• Techniques of integration: parts, trapezoid rule, Simpson’s Rule (§§6.1, 6.6, 6.7)
• CSC C introduced (Integrals as Limits of Sums)
#24 Wednesday 11/17
• Applications: areas between curves, volumes of solids (§§5.7, 7.1)
• CSC C continued
#25 Friday 11/19
• CSC C due CSC C due
• Arc length (§7.3)
#26 Monday 11/22
• More modeling: first-order differential equations (§7.9)
#27 Wednesday 11/24
• Newton’s method (§4.6)
• Linear approximations (§4.7)
#28 Monday 11/29
• Review of course
#29 Wednesday 12/1
• Review of course (continued)
• Course evaluation.
Notes:
No class on Friday, 10/29: Special Day of Classes.
Fall Term finals begin Saturday 12/4 and end Wednesday 12/8.
The Final Exam for Math 3 will be scheduled by the Registrar.
To find CAS #1 and CAS #2: go to http://www.dartmouth.edu/~matc/math3.calculus/index.html, Computer Algebra System (on the left-hand sidebar).
To find the CSCs, go to http://www.dartmouth.edu/~math3f98/csc_archive/arch.html CSC A is CSC #2, CSC B is CSC #4, CSC C is CSC #3.