Math141 (MATH141)
Penn State
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MATH141 Section 9.1 - Introduction to Differential Equations
- Class notes • 9 pages • 2025
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Class notes for MATH 141 taught by Quinn Minnich. All notes posted reflect all chapters and units of Calculus 2 taught by this specific professor as well as most other professors teaching MATH141. Section 9.1 is the second "unit" in MATH 141 and introduces students to differential equations, which is only briefly covered in Calculus 2 as there is a separate course for that topic alone. This "unit" is broken into an introduction and application of differential equations. All notes are...

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MATH141 Section 7.1 - Integration by Parts
- Class notes • 4 pages • 2025
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Class notes for MATH 141 taught by Quinn Minnich. All notes posted reflect all chapters and units of Calculus 2 taught by this specific professor as well as most other professors teaching MATH141. Section 7.1 is the fifth "unit" in MATH 141 and introduces students to the third method of solving integrals: integration by parts, which is similar to the product rule for derivatives, just for integrals. All notes are followed up by examples and practice problems. Each section in the notes is h...

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MATH141 Section 9.2 - Autonomous Differential Equations
- Class notes • 3 pages • 2025
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Class notes for MATH 141 taught by Quinn Minnich. All notes posted reflect all chapters and units of Calculus 2 taught by this specific professor as well as most other professors teaching MATH141. Section 9.2 is the third "unit" in MATH 141 and introduces students to autonomous differential equations, which utilizes phases lines and sketching graphs. It is similar to solving for critical points just like in Calculus 1. All notes are followed up by examples and practice problems. Each section in ...

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MATH141 Section 7.2 - Trigonometric Integrals
- Class notes • 8 pages • 2025
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Class notes for MATH 141 taught by Quinn Minnich. All notes posted reflect the order of Calculus 2 taught by this specific professor as well as most other professors teaching MATH141. Section 7.2 is the fourth "unit" in MATH 141 and introduces students to solving complex trigonometric integrals using various angle identities and trig formulas. All notes are followed up by examples and practice problems with answers available. There are several problems within the 8-page note packet for students ...

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MATH141 Section 7.5 - Partial Fractions
- Class notes • 5 pages • 2025
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Class notes for MATH 141 taught by Quinn Minnich. All notes posted reflect the order of Calculus 2 taught by this specific professor as well as most other professors teaching MATH141. Section 7.5 is the ninth "unit" in MATH 141 and introduces the fourth method of solving integrals: partial fractions. All notes are followed up by examples and practice problems with answers available. Each section in the notes are highlighted for clarity. There are a total of 5 pages in this note packet with plent...

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MATH141 - Calculus 1 Review
- Class notes • 6 pages • 2025
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Class notes for MATH 141 taught by Quinn Minnich. All notes posted reflect the order of Calculus 2 taught by this specific professor. Calculus 1 Review is the first "unit" in MATH 141 and includes definite and indefinite integrals taught in Calculus 1 (MATH 140). Includes integral formulas for trigonometric functions and more, as well as U-substitution. All notes are followed up by examples and practice problems with answers available. Each section in the notes are highlighted for clarity.
Using integrals to solve work and energy problems

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