Calculus 1 lessons manual#
Calculus 1 lessons full#
Calculus 1 lessons software#

Calculus 1 covers functions, limits, derivatives, and integration.This course is designed to be used as part one of a three-part calculus sequence: Together these measures reduce uncertainty for instructors as they work through the impact of COVID-19 on course design and instruction. Careful attention to content and platform accessibility ensures the course works well for individuals with varying abilities. The course can also be used in terms or semesters of various lengths. Thoughtful, evidence-based learning design and a digital-first flexible format make OHM course materials effective in any modality (e.g. OHM for Calculus I is a great option for the many institutions and faculty who have shifted towards remote instruction. All content is constructed around the goal of helping students master the learning outcomes for this course. Faculty can adapt and use these materials in a variety of ways depending on their class structure and institutional requirements.

Calculus 1 lessons full#

Keeping student engagement in mind, we have created a full suite of thought-provoking assignments: discussion prompts, Desmos interactives, application-based assignments (in relation to economics, computer science, biology, physics, and engineering), flipped classroom options, and a capstone project. The course includes embedded algorithmically generated practice questions, worked-example videos, and a complete set of outcome-aligned online assessments in OHM.įor even more practice opportunities, there are problem sets for each section and an activity for each module. Additionally, just-in-time reviews of essential math concepts appear throughout the text to help those students who need further learning support. Each module begins with a prerequisite material review section, in which critical skills from Precalculus and College Algebra are revisited. Lumen has curated, designed, and built additional resources to enhance both the teaching and learning experience. Watch the full course on the YouTube channel (12 hour watch).The primary text for this course is Calculus Volume 1 from OpenStax. Green moves fast and covers a lot of topics in a short time.

Calculus 1 lessons manual#

This manual process of taking notes will help you better comprehend and retain these concepts, since Dr. We recommend you pull out some paper and a pencil and take physical notes – just like when you were back in a classroom.

Proof of the Mean Value Theorem for Integrals.

Proof of the Fundamental Theorem of Calculus.

The Fundamental Theorem of Calculus, Part 2.

The Fundamental Theorem of Calculus, Part 1.Any Two Antiderivatives Differ by a Constant.Finding Antiderivatives Using Initial Conditions.L'Hospital's Rule on Other Indeterminate Forms.First Derivative Test and Second Derivative Test.Derivatives of Inverse Trigonometric Functions.

More Chain Rule Examples and Justification.

Proof of Trigonometric Limits and Derivatives.

Proof of Product Rule and Quotient Rule.

Proof of the Power Rule and Other Derivative Rules.

Power Rule and Other Rules for Derivatives.

Proof that Differentiable Functions are Continuous.

Derivatives as Functions and Graphs of Derivatives.

Computing Derivatives from the Definition.

Unit Circle Definition of Sine and Cosine.

Limits at Infinity and Algebraic Tricks.

The sections from the Corequisite course are identified. Green.īelow are all the Calculus concepts you will learn about in this course. In this video, the lectures from the Corquisite course, which review important Algebra and Trigonometry concepts, have been interspersed with the Calculus 1 lectures at the places suggested by Dr. She teaches both Calculus 1 and a Calculus 1 Corequisite course, designed to be taken at the same time. This course actually combines two courses taught by Dr. She has years of experience teaching Calculus to undergraduate students. Linda Green who teaches at the University of North Carolina at Chapel Hill. We have posted a 12-hour college Calculus course on the YouTube channel. Calculus is also used in the field of machine learning. It is also used in graphics and physics simulations, which are key parts to many video games.

Calculus 1 lessons software#

Calculus concepts are important to understand for many types of software development.Ĭalculus is often used when developing algorithms for modeling real-word phenomena.