SPRING 2014 ROSI’S MATH 20: FUNDAMENTALS OF CALCULUS II

RECOMMENDED ASSIGNMENTS

LESSON	DATE	SECTION	TOPIC	START PAGE	EXERCISES
Lesson One		7.1	‘Antiderivatives’	366	EOO, (every other odd), 5-41, Odds 43-55, & Odds 67-71
Lesson Two		7.2	‘Substitution’	375	Odds 3-35
Lesson Three		7.3	‘Area and the Definite Integral’		Mention
Lesson Four		7.4	‘The Fundamental Theorem of Calculus’	395	EOO 1-29
Lesson Five		7.5	‘The Area Between Two Curves’	405	#’s 1, 7, & 9
Lesson Six		7.6	‘Numerical Integration’		Mention
Lesson Seven		8.1	‘Integration by Parts’	432	Odds 1-21
Lesson Eight		8.2	‘Volume and Average Value’	439	Odds 1-7, Odds 25-31, 35, & 37
Lesson Nine		8.3	‘Continuous Money Flow’	447	Odds 1-15
Lesson Ten		8.4	‘Improper Integrals’	452	Odds 1-25, not #17
Lesson Eleven		9.1	‘Functions of Several Variables’	467	#1, 3, & 37
Lesson Twelve		9.2	‘Partial Derivatives’	478	Odds 3-11; EOO 21-37, not #31; & Odds 45-49
Lesson Thirteen		9.3	‘Maxima and Minima’	488	EOO 1-13, 35, & 37
Lesson Fourteen		9.4	‘Lagrange Multipliers’	498	Odds 1-11 & Odds 23-27
Lesson Fifteen		9.5	‘Total Differentials and Approximations’	502	Odds 1-5
Lesson Sixteen		9.6	‘Double Integrals’	513	EOO 1-33 & EOO 37-53
Lesson Seventeen		10.1	‘Solutions of Elementary and Separable Differential Equations’	535	EOO 1-29 & 35
Lesson Eighteen		10.2	‘Linear First-Order Differential Equations’	543	EOO 1-17 & 19
Lesson Nineteen		10.3	‘Euler’s Method’ Gives approximate solutions to differential equations		Mention
Lesson Twenty		10.4	‘Applications of Differential Equations’	557	Odds 1-5
Lesson Twenty-One		11.1	‘Continuous Probability Models’	575	EOO 1-21, 29, & 31
Lesson Twenty-Two		11.2	‘Expected Value and Variance of Continuous Random Variables’	585	Odds 1-7, 13 a-c, 17 a, 25 a & b, & 33 a & b
Lesson Twenty-Three		11.3	‘Special Probability Density Functions’	597	Odds 1-5, (mean & standard deviation)
Lesson Twenty-Four		12.1	‘Geometric Sequences’	612	EOO 1-37
Lesson Twenty-Five		12.2	‘Annuities: An Application of Sequences’	621	EOO 1-17, 25, & 29
Lesson Twenty-Six		12.3	‘Taylor Polynomials at 0’	631	#1, 4, 21, & 24
Lesson Twenty-Seven		12.4	‘Infinite Series’	637	Odds 1-13
Lesson Twenty-Eight		12.5	‘Taylor Series’	647	#’s 1 & 3
Lesson Twenty-Nine		12.6	‘Newton’s Method’		Mention
Lesson Thirty		12.7	‘L’Hopital’s Rule’	659	EOO 1-29
Lesson Thirty-One		13.1	‘Definitions of the Trigonometric Functions’	678	EOO 1-45 & 47
Lesson Thirty-Two		13.2	‘Derivatives of Trigonometric Functions’	688	EOO 1-29
Lesson Thirty-Three		13.3	‘Integrals of Trigonometric Functions’	697	EOO 1-29
			Review for Final
			Final Examination