Essential Calculus - What's New

Enhancements

79 new question types
3 new algebra lessons were added in the appendix to help students to be more successful in solving linear, quadratic, rational and radical equations
Solutions screens have been improved throughout the product
New explain error screens have been added to several sections
Flexibility for user input has been increased
Default curriculum has been updated such that a wider variety of questions are included
Multiple choice questions have been added and the existing ones have been improved throughout the product

Lesson 2.3b: Slope and Rate of Change Considered Algebraically

Added several new question types that are all word problems (similar to exercises 48-52 in the textbook).

Lesson 3.4a: Local Extrema

Added a new question type where the general power rule is applied to find the critical points and the increasing and decreasing intervals (like problems 20-21 in the textbook).

Lesson 4.1a: Higher Order Derivatives and Concavity

Added new question typess for finding the concave up and concave down intervals and the inflection points given the graph of a function (similar to exercises 34-37 in the textbook).

Lesson 4.2: Curve Sketching: Polynomial Functions

Added new question types such that 4 of them have 4 parts for finding the first and second derivatives, the increasing and decreasing intervals, the concave up and concave down intervals, the local extrema and the inflections points (like problems 25-31 in the textbook) and the other 3 are about finding a variable in a given function knowing one extrema point or one inflection point (similar to exercises 37-40 in the textbook).

Lesson 4.3: Curve Sketching: Rational Functions

Added new question typess which are coming from an existing problem case to find any vertical, horizontal and oblique asymptotes, where the iterations were split such that each one will have the same level of difficulty.

Lesson 6.3b: The Definite Integral

Added a new question type to find the definite integral of an exponential function using u-substitution such that the answer in decimal format is reasonable (similar to exercises 30-31 in the textbook).

Lesson 8.6: Double Integrals

Added new question types to evaluate double integrals of varying levels of difficulties such that their answers are reasonable fractions (similar to exercises 17, 25-26, 28 in the textbook).

Lesson 9.1: The Trigonometric Functions

Added new question types which are coming from an existing problem case where the iterations were split such that each one will have the same level of difficulty: one question is to calculate sin, cos and tan for degrees, second one is to calculate sin, cos and tan for radians, third one is to calculate sec, csc and cot for degrees and the last one to calculate sec, csc and cot for radians.

Lesson 9.2: Derivatives of the Trigonometric Functions

Added new question types which are coming from 3 existing problem cases where the iterations were split such that each one will have the same level of difficulty and deal with the same trigonometric function when asking to find the derivative.

Lesson A.1:

This is a new lesson with 13 question types of varying level of difficulty to solve linear equations.

Lesson A.2:

This is a new lesson with 17 question types of varying level of difficulty to solve quadratic equations.

Lesson A.3:

This is a new lesson with 15 question types of varying level of difficulty to solve rational and radical equations.