
Course Title: Calculus 1
Course Description: Calculus 1
Calculus 1 is an introductory course designed to provide trainees with a strong foundation in differential and integral calculus. The course focuses on understanding functions, limits, continuity, differentiation, and basic integration. Trainees will learn how calculus is used to describe change, model real-life situations, and solve practical problems in science, engineering, business, and technology.
Through guided practice, problem-solving activities, and real-world applications, trainees will develop analytical and critical thinking skills. The course prepares trainees for advanced studies in mathematics and technical fields by building confidence in applying calculus concepts to practical and academic challenges.
General Learning Outcomes
By the end of this course, trainees will be able to:
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Apply limits and continuity concepts to analyze mathematical functions.
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Differentiate algebraic and transcendental functions and interpret their meaning.
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Use differentiation to solve real-life rate of change and optimization problems.
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Integrate basic functions and apply integration to find areas and accumulated quantities.
Core Topics (4 Units)
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Limits and Continuity
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Differentiation and Its Applications
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Techniques of Differentiation
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Introduction to Integration and Applications
General E-Activities for Trainees
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Interactive Quizzes
Trainees complete short online quizzes after each session to test understanding. Immediate feedback is provided. -
Discussion Forums
Trainees post responses to trainer questions and comment on classmates’ ideas to encourage collaboration. -
Video Lessons & Reflections
Trainees watch short trainer-recorded videos and submit brief reflections on what they learned. -
Upload Assignments
Trainees submit written work, photos of calculations, or project files directly to portal -
Self-Practice Exercises
Auto-graded practice questions are provided for extra learning and revision.
Assessment Plan
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Weekly Quizzes: 30%
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Assignments/Interactive Activities: 30%
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Final Quiz/Assessment: 40%
- Teacher: Admin User