CHAPTER 2

Math 114 - Spring 2025

Lecture & Guided Notes:

The instructor has typed up guided notes for each chapter for the course. These guided notes are distributed in class.
LECTURE NOTES ARE NOT TO BE TURNED IN. Keep them in a safe place, and use them during homework and quizzes.

Homework:

After we have completed a lecture section in class, please work on your textbook homework.
The list of homework problems assigned are listed below.
Note: The symbol § means "section", e.g. § 1.1 means "Section 1.1".
HOMEWORK IS NOT TO BE TURNED IN. Keep it in a safe place, and use it during quizzes and to prepare for your exams.

📣 Midterm 1 reminder 📢

Midterm Exam 1 will cover Chapter 1 and Chapter 2 (Section 2.1 - 2.3 only).

The midterm will be given 1 week after we have finished the corresponding lecture material.

Chapter 2 - Linear and Quadratic Functions

📣 Midterm 1 reminder 📢

Section 2.1: Linear Functions

Section 2.2: Equations and Models

Section 2.3: Quadratic Functions

🟩 Start of Exam 2 Material

Section 2.4: Complex Numbers

Section 2.5:

Section 2.6:

Section 2.7:

Section 2.1: Linear Functions

READ Section 2.1 from your textbook, and then work on the homework assignment
§ 2.1 TEXTBOOK HOMEWORK: #'s 13, 15, 33, 37, 39, 45, 53 - 59 odd

Missed something from class or simply miss the teacher's voice? Then feel free to review any or all of the following videos (OPTIONAL).

Note: In the videos you may find extra practice problems than those done in class. Feel free to also review these additional problems.

⏸︎ Oh, and please pause and rewind the video as often as you'd like ⏪︎

Section 2.1 Lecture

Section 2.1 Lecture, continued

Section 2.2: Equations and Models

READ Section 2.2 from your textbook, and then work on the homework assignment
§ 2.2 TEXTBOOK HOMEWORK: #'s 19 – 35 odd, 43, 45, 53, 79

Missed something from class or simply miss the teacher's voice? Then feel free to review any or all of the following videos (OPTIONAL).

Note: In the videos you may find extra practice problems than those done in class. Feel free to also review these additional problems.

⏸︎ Oh, and please pause and rewind the video as often as you'd like ⏪︎

Example

Section 2.3: Quadratic Functions

READ Section 2.3 from your textbook, and then work on the homework assignment
§ 2.3 TEXTBOOK HOMEWORK: #'s 7, 9 13 – 17 odd, 21 – 27 odd, 31 – 35 odd, 39, 41 – 55 odd, Example 9 from book (pg 183)

Missed something from class or simply miss the teacher's voice? Then feel free to review any or all of the following videos (OPTIONAL).

Note: In the videos you may find extra practice problems than those done in class. Feel free to also review these additional problems.

⏸︎ Oh, and please pause and rewind the video as often as you'd like ⏪︎

Section 2.3. Video 1

Section 2.3. Video 2

Section 2.3. Video 3

Section 2.3. Video 4

Section 2.3. Video 5

Section 2.3. Video 6

🟥 End of Exam 1 Material
🟦 Midterm Exam 1 will cover Chapter 1 - Section 2.3.
🟩 Good luck! ☘

🟩 Start of Exam 2 Material

Section 2.4: Complex Numbers

READ Section 2.4 from your textbook, and then work on the homework assignment
§ 2.4 TEXTBOOK HOMEWORK: #'s 13, 15, 19 – 39 eoo, 41, 43, 49, 53 - 63 odd, 67, 73, 79

Missed something from class or simply miss the teacher's voice? Then feel free to review any or all of the following videos (OPTIONAL).

Note: In the videos you may find extra practice problems than those done in class. Feel free to also review these additional problems.

⏸︎ Oh, and please pause and rewind the video as often as you'd like ⏪︎

Lecture for Section 2.4

Section 2.5:

READ Section 2.5 from your textbook, and then work on the homework assignment
§ 2.5 TEXTBOOK HOMEWORK: #'s 9 – 33 eoo (every other odd, e.g. 9, 13, 17, etc), 35, 39, 41, 43, 101

Missed something from class or simply miss the teacher's voice? Then feel free to review any or all of the following videos (OPTIONAL).

Note: In the videos you may find extra practice problems than those done in class. Feel free to also review these additional problems.

⏸︎ Oh, and please pause and rewind the video as often as you'd like ⏪︎

In this video we talk about how to solve a quadratic equation by

Factoring
Square Root Method (Square Root Property)

In this video we talk about how to solve a quadratic equation by

Completing the Square

In this video we talk about how to solve a quadratic equation by

Factoring
Quadratic Formula

We also talk about the discriminant and how to use it to predict the number and types of solutions.

Word Problem. Solve algebraically.

Section 2.6:

READ Section 2.6 from your textbook, and then work on the homework assignment
§ 2.6 TEXTBOOK HOMEWORK: #'s 19 – 29 odd, 33, 35, 37, 43, 49

Missed something from class or simply miss the teacher's voice? Then feel free to review any or all of the following videos (OPTIONAL).

Note: In the videos you may find extra practice problems than those done in class. Feel free to also review these additional problems.

⏸︎ Oh, and please pause and rewind the video as often as you'd like ⏪︎

<< How to solve radical equations that have 1 radical expression

e.g. Solve sqrt(2x + 1) + 3 = 2

<< How to solve radical equations that have 2 radical expressions

e.g. Solve sqrt(2x + 5) + sqrt(x + 2) = 2

<< How to solve quadratic-like equations

<< (Solve equations of quadratic type)

<< (Solve equations of quadratic form)

e.g. Solve x^2/3 - 3x^1/3 - 10 = 0

Note: All problems are solved by SUBSTITUTION

Same problems from Part 2 done again, but this time the problems are solved DIRECTLY -- not by substitution

e.g. Solve x^2/3 - 3x^1/3 - 10 = 0

Section 2.7:

Then READ Section 2.7 from your textbook, and then work on the homework assignment
§ 2.7 TEXTBOOK HOMEWORK: #'s 25 – 29 odd, 39, 45, 47, 53 – 57 odd

Missed something from class or simply miss the teacher's voice? Then feel free to review any or all of the following videos (OPTIONAL).

Note: In the videos you may find extra practice problems than those done in class. Feel free to also review these additional problems.

⏸︎ Oh, and please pause and rewind the video as often as you'd like ⏪︎

<< How to solve LINEAR inequalities in a single variable

e.g. Solve 4x + 8 > x - 1

<< How to solve QUADRATIC inequalities by using TEST INTERVALS

e.g. Solve x^2 + 3x > 8

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