Analysis 2

 Course Title: Analysis 2📘

: Target Audience🎯

.First-year undergraduate students in mathematics

 Course Description🧾

Analysis 2 expands students’ understanding of integral calculus and differential equations. The course begins with techniques for solving 🧮 indefinite integrals, such as substitution, integration by parts, and partial fractions. It then introduces 📐 definite integrals, focusing on their properties and applications in computing areas, volumes, and average values of functions. The final sections are devoted to 📊 first-order and ⚙️ second-order differential equations with constant coefficients, where students learn to solve both homogeneous and non-homogeneous cases and apply these tools to real-world problems in science and engineering

 Learning Objectives🎓

:By the end of this course, students will be able to

 .Apply integration techniques to solve complex indefinite and definite integrals✅

 .Analyze first- and second-order differential equations to determine appropriate solving methods🔍

 .Solve applied problems involving areas, volumes, and differential models using calculus tools🧩