B = already claimed by a student in the BLUE class
P = already claimed by a student in the PURPLE class

Possible Project Topics, Listed by Calendar Date

Some Possible Project Topics, FINAL pdf Approval at 11:59 pm on this date, Lecture Date by Course outline, (section in book)
Final Pdf File Must be Submitted & Approved by Monday,  February 17, 2025
Present on Feb 19 & 20: Before the Second Test

1/21 & 22 & 23	-- An Introduction to Limits (1.1) & Finding Limits Analytically (1.3)
				-- What Does Indeterminant Form Mean?
Jan 27 & 28		-- One-Sided Limits and Continuity (1.4-1.5)
				-- use the Geometer's Sketchpad to analytically examine limits of a continuous function
				-- present examples of limits of a continuous function and of a function which is not continuous 
					approached form an analytical and an algebraic standpoint
Jan 29, 30		-- Limits Involving Infinity (1.6)
				-- use the Geometer's Sketchpad to analytically examine limits of a function(s) at infinity
				-- for rational functions, explain limits at infinity from the Ax^m/Bx^n perspective
Feb 3, 4			-- Instantaneous Rates of Change and Interpretations of the Derivative (2.1-2.2)
				-- Real-world examples of instantaneous rates of change and average rates of change
Feb 5, 6			-- Basic Differentiation Rules (2.3)
				-- analytically explain the derivative of ln(x)
				-- use the Geometer's Sketchpad to graph (then name) the derivative of a function using TRACE
				-- write a problem set w/answers and work
				-- write a connect-the-dots
				-- review the cyclic nature of the derivatives & antiderivatives of the sine and cosine
Feb 10, 11		-- The Product and Quotient Rules (2.4)
				-- perhaps analytically explain the derivative of ln(x)
				-- perhaps write a problem set w/answers and work
				-- perhaps write a connect-the-dots
Feb 12, 13, 18	B P -- The Chain Rule (2.5)
				-- perhaps analytically explain the derivative of ln(x)
				-- perhaps write a problem set w/answers and work
				-- perhaps write a connect-the-dots
Final Pdf File Must be Submitted & Approved by Monday,  March 24, 2025
Present on March 26 & 27: Before the Third Test

Feb 24 &25		--	Implicit Differentiation  (2.6)
				-- 	compute a derivative requiring implicit differentiation
Feb 26 & 27		--	Related Rates  (4.2)
				--	create or use a problem from the text or other source and solve it showing work
March 3 & 4		-- 	Inverse Functions, Derivatives of Inverse Functions (2.7)
March 5 & 6		--	Extreme Values and the Mean-Value Theorem (3.1-3.2)
March 17 & 18	--	Increasing and Decreasing Functions, Concavity and the Second Derivative (3.3-3.4)
				-- 	Using a sketchpad, make-up a function, analyze it using the graphing notes 
						reviewed in class and derivatives then graph it.
				-- 	write a connect-the-dots
March 19 & 20	--	Curve Sketching (3.5)
March 24 & 25	--	Optimization and Differentials (4.3-4.4)
				-- 	write a problem set w/answers and work
				-- 	write a connect-the-dots

Final Pdf File Must be Submitted & Approved by Monday,  April 21, 2025
Present on April 23 & 24: Before the Fourth Test

March 31 & April 1	-- Optimization and Differentials (4.3-4.4)
April 2 & 3		--	Antiderivatives and the Indefinite Integral (5.1)
				--	Cumulative Functions
				--	Total Distance, Distance, Velocity, Acceleration
				--	Length, Area, Volume
April 7 & 8		--	Riemann Sums (5.3)
April 9 &10		--	Definite Integrals (5.2)
April 14 & 15		--  	The Fundamental Theorem of Calculus (5.4)
				-- 	FTC I
				-- 	FTC II
April 16 & 17		--	Antiderivative by Substitution	(6.1)
April 21 & 22		--	Area Between Curves (7.1)
				-- 	Area with partitions perpendicular to the x-axis
				-- 	Area with partitions perpendicular to the y-axis

Final Pdf File Must be Submitted & Approved by Monday,  April 26, 2025 and Friday, May 2, 2025
Present on April 28 - 30, May 1, May 5: Before the Final Exam

Some Repeated or Not As Yet Presented Projects